Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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what is the rule for a 90 counterclockwise rotation? (-y, x) (y, -x)
(-y, x)
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15. ∠p and ∠q are supplementary angles. if m∠p=(4x + 1)° and m∠q=(9x - …
\(123^{\circ}\)
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an architect is designing a ramp for delivery trucks. a drawing of the …
C. $\frac{2}{7}$
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8. solve for angle xyz.
\(\frac{2000}{19}\text{ degrees}\)
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multiple - choice question what is the rule for a 180 rotation? (-y, -x…
B. (-x, -y)
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16. ∠1 and ∠2 form a linear pair. the measure of ∠2 is six more than tw…
$122^{\circ}$
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multiple - choice question what is the rule for a 90 degrees clockwise …
(y, -x)
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5) (8)2 314= 96= square yds area =
$34.89$ square yards (rounded to two decimal places)
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17. ∠j and ∠k are complementary angles. the measure of ∠j is 18 less th…
The measure of $\angle J$ is $36^{\circ}$ and the measure of $\angle K$ is $54^{\circ}$.
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area = 8 yd
$200.96$ square yards (using $\pi\approx3.14$) or $64\pi$ square yards
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18. if (overline{uw}) bisects (angle tuv), (mangle tuw=(13x - 5)^{circ}…
$x = 6$, $m\angle TUV=146^{\circ}$
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19. if mo bisects ∠pmn, m∠pmn = 74° and m∠omn=(2x + 7)°, find the value…
$x = 15$
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20. if ef bisects ∠ceb, m∠cef=(7x + 21)° and m∠feb=(10x - 3)°, find the…
$154^{\circ}$
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12 if (mangle knm=(8x - 5)^{circ}) and (mangle mnj=(4x - 19)^{circ}), f…
\(43^{\circ}\)
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11. if ab ⊥ cd, m∠dce=(7x + 2)° and m∠ecb=(x + 8)°, find the measure of…
$72^{\circ}$
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5 yd. area =
$25\pi$ yd² (or approximately $78.5$ yd² if $\pi\approx3.14$)
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10. if (mangle pqt=(3x + 47)^{circ}) and (mangle sqr=(6x - 25)^{circ}),…
$119^{\circ}$
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9. ∠1 and ∠2 form a linear pair. if the measure of ∠1 is 113°, find the…
\(67^{\circ}\)
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8. ∠p and ∠q are supplementary angles. if the measure of ∠q is 64°, fin…
$116^{\circ}$
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the sum of the interior angle measures of a triangle must be °. so, m∠1…
The measure of an exterior angle is greater than the sum of the measures of its two remote interior angles.
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16 in area =
$200.96$ in²
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in the figure below, suppose m∠1 = 62° and m∠3 = 84°. complete the stat…
The sum of the interior angle measures of a triangle must be \(180^{\circ}\). \(m\angle4 = 34^{\circ}\), \(m\angle2=118^{\circ}\)
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7. ∠a and ∠b are complementary angles, if the measure of ∠a is 42°, fin…
\(48^{\circ}\)
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6. ∠1 and ∠2 are vertical angles. if the measure of ∠2 is 105°, find th…
$105^{\circ}$
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quiz #2 show all work and include units to receive full credit! circle …
$36x^{2}+49x - 72$
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Question was provided via image upload.
56
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quiz slope intercept form and gra determine if each statement is true o…
The system has infinitely many solutions: False The y - intercept of the light blue line is (0, 7): True The lines are descending: True The slope of the dark blue line is 3/2: Fal…
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Question was provided via image upload.
$x = 22$
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which transformation would take figure a to figure b? answer a counterc…
A counterclockwise rotation of 180 about the origin
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find the missing mea 1. 112° x° 68
\(x = 112\)
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figure a to figure b? answer a reflection over the x - axis a countercl…
A reflection over the y - axis
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6. if (mangle cdf=(3x + 14)^{circ}), (mangle fde=(5x - 2)^{circ}), and …
$x = 15$ $m\angle CDF=59^{\circ}$ $m\angle FDE=73^{\circ}$ $m\angle CDE=132^{\circ}$
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1-127 locate the coordinates of the three highlighted points on the gra…
(2,1), (4,7), (6,1)
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8. ∠k and ∠l are complementary angles. if m∠k=(3x + 3)° and m∠l=(10x - …
\(m\angle K = 24^{\circ}\), \(m\angle L=66^{\circ}\)
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37. solve for x. (4x + 7)° (2x + 5)°
\(x = - 1\)
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5) rectangle cdef with vertices c(-1,6), d(0,8), e(6,5), and f(5,3): 27…
Rule: $(x,y)\to(y,-x)$ $C'(6,1)$ $D'(8,0)$ $E'(5,-6)$ $F'(3,-5)$
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36. solve for x. (10x + 1)° (12x - 5)°
\(x = 3\)
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quiz slope intercept form and grap... what is the equation of this line…
A. $y = 4$
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read the paragraph. novac barely heard his dads car rumbling up the dri…
heard; felt
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multiple choice 10 points for the piecewise function shown below, which…
Without the actual multiple - choice options provided, we can't select a specific answer. But the graph should have a line \(y=x + 1\) for \(x<1\) (open - circle at \((1,2)\)) and…
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12. list all the right angles. why are they right angles? 13. list all …
12. Right angles: $\angle{JKN}$; Reason: Marked with a right - angle symbol, measures 90 degrees. 13. Acute angles: $\angle{MKJ}$, $\angle{MKL}$, $\angle{NKL}$, $\angle{NKJ}$, $\a…
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the area of a square poster is 27 in.². find the length of one side of …
$5.2$
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solving/evaluating part 3: algebra 1. if df = 42, find de. 2. in the di…
### 1. If \(DF = 42\), find \(DE\). # Explanation: ## Step1: Set up equation based on segment - addition Since \(DF=DE + EF\), and \(DE = 7x + 1\), \(EF=4x - 3\), we have \(DF=(7x…
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use the diagram to the right for questions 9 - 12: 13. name a pair of c…
13. ∠XYW and ∠WYT 14. ∠UYS 15. ∠XYU 16. ∠VYS
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1-128 draw an example of each of the following shapes. refer to the glo…
You need to perform the drawing operations as described above on paper or using a drawing tool. There is no single numerical or text - only answer for this drawing task.
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question 1(multiple choice worth 2 points) (area of polygons and compos…
D. 238 in²
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question #11 reference q.14159 on a particular day, the eiffel tower in…
Question #11: 325 m Question #12: 66 units
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a = (-2,3) b = (3,5) c = (-1,0) choose the correct graph that shows poi…
$d(A,B)=\sqrt{29}$, $d(A,C)=\sqrt{10}$, $d(B,C)=\sqrt{41}$
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1-129 find the perimeter and area of each figure below. be sure to show…
a) Perimeter: 196 in, Area: 2052 in² b) Perimeter: 221 cm, Area: 2044 cm²
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part ii: short answer use the diagram to the right for questions 1 - 4:…
1. A, E 2. Line AE 3. Y 4. W 5. 6 6. J, K, L, M 7. P 8. Line JK 9. Plane PQRS, Plane WXYZ 10. JR, WZ 11. QP, PZ 12. SR, YZ
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unit 2 study guide: points, lines, segments, & angles name: identifying…
## Part I: 1. H 2. C 3. A 4. N 5. J 6. E 7. L 8. O 9. B 10. K 11. M 12. G 13. D 14. I 15. F ## Part II: 1. Answers may vary depending on the diagram. If there are points on the sa…
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find the coordinates of the missing endpoint if b is the midpoint of ac…
\(A(1,6)\)
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find the distance $d(p_1,p_2)$ between the points $p_1$ and $p_2$. $p_1…
$5\sqrt{2}$
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find the distance d(p₁, p₂) between the given points p₁ and p₂ p₁=(1,2)…
$\sqrt{37}$
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15. find the distance from point a to point b. round your answer to the…
5
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44. if sv ⊥ rt, m∠rsu=(17x - 3)°, and m∠ust=(6x - 1)°, find each missin…
$x=\frac{94}{23}$ $m\angle RSU=\frac{1529}{23}^{\circ}$ $m\angle UST=\frac{541}{23}^{\circ}$ $m\angle VSU=\frac{1529}{23}^{\circ}$ $m\angle WSV=\frac{541}{23}^{\circ}$
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14. what are your leg lengths? 25 and 9 3 and 5 4 and 3 6 and 10
C. 4 and 3
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13. find the length of the diagonal d. (hint: you need to find the othe…
$14.76$
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12. there is a chick - fil - a exactly 6 miles due east of berkmar midd…
8.00
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plot (-4,4), (0, - 2), and (-3,-5) in the xy - plane. (a) choose the gr…
(Please provide the graphs A, B, C, D in text - form so that a specific answer can be given. But conceptually, the correct graph should have a point 4 units to the left of the y -…
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6. if ∠def is a straight angle, m∠deg=(23x - 3)°, and m∠gef=(12x + 8)°,…
Problem 6: $x = 5$ $m\angle DEG = 112^{\circ}$ $m\angle GEF = 68^{\circ}$ $m\angle DEF = 180^{\circ}$ Problem 7: $x = 7$ $m\angle TUW = 38^{\circ}$ $m\angle WUV = 65^{\circ}$ $m\a…
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42. the measure of ∠p is five less than four times the measure of ∠q. i…
$m\angle P = 143^{\circ}$
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example: find the midpoint of the line segment with the endpoints (4, 1…
1. $(3,2)$ 2. $(-1,-\frac{5}{2})$ 3. $(-\frac{9}{2},8)$ 4. $(1,8)$ 5. $(1,-3)$ 6. $(3,-2)$ 7. $(-4,-9)$ 8. $(-\frac{1}{2},4)$ 9. $(3,-2)$ 10. $(-6,1)$
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11. 7,24,25 right triangle answer by dragging items here 8,15,17 not a …
7, 24, 25: Right Triangle 8, 15, 17: Right Triangle 11, 60, 61: Right Triangle 30, 45, 60: Not a Right Triangle \(\sqrt{105}\), \(\sqrt{120}\), 15: Right Triangle \(\sqrt{150}\), …
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what is the length of $overline{rs}$, when $r$ is the midpoint of $over…
16
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10. youre locked out of your house. the only open window is on the seco…
$26.93$ feet
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find the value of x. 14. 15. 16.
14. $x = 50$ 15. $x = 60$ 16. $x = 40$
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consider the following system of equations. \\\\begin{cases}- 10x^{2}-1…
The equations represent circles that result in the same graph.
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41. ∠1 and ∠2 are vertical angles. if m∠1=(5x + 12)° and m∠2=(6x - 11)°…
$127^{\circ}$
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true or false: if point c on $overline{af}$ is located such that the ra…
True
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9. find the slant height of the pyramid. use the image to show your wor…
6.95 mm
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parks nate wants to visit his friend mac before going to the park. nate…
$(2,5)$
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use the diagram below to answer questions 1 and 2. 1. if (mangle abd = …
1. $m\angle ABC = 126^{\circ}$ 2. $m\angle ABD = 45^{\circ}$ 3. $x = 6$, $m\angle PQS = 82^{\circ}$, $m\angle SQR = 59^{\circ}$ 4. $x = 10$, $m\angle DEG = 51^{\circ}$, $m\angle D…
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8. if you run 5 miles north and then 6 miles west, what is the shortest…
$7.81$ miles
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use the diagram below to answer questions 1 and 2. 1. if (mangle abd = …
# Explanation: ## Step1: Use angle - addition postulate for question 1 The angle - addition postulate states that if point \(D\) lies in the interior of \(\angle ABC\), then \(m\a…
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7. a 20 - ft pole is leaning up against the side of a barn. it is place…
$5\sqrt{15}\approx19.36$ ft
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find the values of x and y. 11. 12. 13.
11. $x = 81$, $y = 81$ 12. $x = 98$, $y = 98$ 13. $x = 90$, $y = 90$
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if r is the mid - point of qs, find qs. q 5x - 3 r 21 - x s
34
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furniture nico is rearranging his furniture. he wants his couch to sit …
5 feet
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if g is the midpoint of fh, find fg. 11x - 7 3x + 9 f g h
15
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find the measure of each angle. (see example 3.) 5. 7. $angle uvw$ and …
Problem 5: First angle: $47^{\circ}$, Second angle: $133^{\circ}$ Problem 6: First angle: $58^{\circ}$, Second angle: $32^{\circ}$ Problem 7: $m\angle UVW = 12^{\circ}$, $m\angle …
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6. circle the greater value. $sqrt{15}$ or 4 explain in complete senten…
4
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if b is the midpoint of $overline{ac}$, and $ac = 8x - 20$, find $bc$. …
$26$
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which equation can be used to find the distance between x (-9, 2) and y…
B. $XY=\sqrt{(-9 - 5)^2+(2-(-3))^2}$ C. $XY=\sqrt{(5-(-9))^2+((-3)-2)^2}$
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if q is the mid - point of pr, find the value of x. 7x - 16 4x + 2 p q r
$x = 6$
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date: hw: angle measures find the missing angle measure. 1) m∠1 = 2) m∠…
1) $m\angle1 = 32^{\circ}$ 2) $m\angle NML=19^{\circ}$ 3) $m\angle7 = 35^{\circ}$ 4) $m\angle NEF=148^{\circ}$ 5) $m\angle AHT=38^{\circ}$ 6) $m\angle CDZ=71^{\circ}$ 7) $m\angle …
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use the number line to answer the question. which two line - segments a…
AC,CD
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a) write another name for ∠cbf. ____________ b) name the sides of ∠ebd.…
a) $\angle FBC$ b) $\overrightarrow{BE}$, $\overrightarrow{BD}$ c) Right angle d) $\angle EBC$ e) $\angle ABE,\angle FBD$ (assuming vertical - angle congruence) f) None (from give…
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if tv = 14x - 8, find tu.
29
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a) write another name for ∠cbf. b) name the sides of ∠ebd. c) classify …
1. \(m\angle ABC = 126^{\circ}\) 2. \(m\angle ABD = 45^{\circ}\) 3. \(x = 6\), \(m\angle PQS = 82^{\circ}\), \(m\angle SQR = 59^{\circ}\) 4. \(x = 10\), \(m\angle DEG = 51^{\circ}…
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question 8 unit 1 practice test incorrect 1 try left. try once more ref…
14.75
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use the previous question and applet to answer the following questions.…
The rectangular rose - garden (using 300 feet of fence) has a maximum area of 5625 square feet when the rectangle has the following dimensions: $l = 75$ feet $w = 75$ feet
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if (jl = 5x + 2), find (jl). 27 (3x - 1) j k l
62
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4. identify all the linear pairs and all the vertical angles in the dia…
Linear pairs: $\angle1$ and $\angle2$, $\angle2$ and $\angle3$, $\angle3$ and $\angle4$, $\angle4$ and $\angle5$, $\angle5$ and $\angle6$, $\angle6$ and $\angle1$. Vertical angles…
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spelling sentences choose ten spelling words. write each word in a sent…
1. I like to eat **tuna** sandwiches. 2. It's my **duty** to clean my room. 3. I hope I don't **lose** my keys. 4. There are only a **few** apples left. 5. The old house looked li…
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3. a square has side lengths of 4.02 inches, estimate the area of the s…
16 square inches
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use the following information to find x. write the value of the variabl…
$x = \frac{3}{4}$
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refer to the number line. find the coordinate of point x such that the …
$14.75$
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what is the length of $overline{az}$? use the following information: a …
165
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2 the area of a square is 66 m². about how many meters long is each sid…
About 8 meters