Question

1. nikki drew a rectangle with a perimeter of 18 units on a coordinate plane. two of the vertices were (4,-3) and (-1,-3). which could be the coordinates of the other two vertices of the rectangle? a. (4,12) and (-1,12) b. (-1,1) and (4,1) c. (4,6) and (-1,6) d. (4,7) and (-1,7) 4. what is the perimeter of the figure shown on the coordinate plane to the right?

Explanation:

Step1: Calculate the length of the side

Use the distance formula \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\) for two points \((x_1,y_1)=(-7, - 3)\) and \((x_2,y_2)=(-7,8)\).

$$
LATEXBLOCK0
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For two points \((x_1,y_1)=(-7,8)\) and \((x_2,y_2)=(4,8)\)

$$
LATEXBLOCK1
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For two points \((x_1,y_1)=(4,8)\) and \((x_2,y_2)=(4,-7)\)

$$
LATEXBLOCK2
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For two points \((x_1,y_1)=(4,-7)\) and \((x_2,y_2)=(-7,-7)\)

$$
LATEXBLOCK3
$$

Step2: Calculate the perimeter

The perimeter formula of a rectangle \(P=2(l + w)\), here \(l = 15\), \(w = 11\)

$$
LATEXBLOCK4
$$

Another way: \(P=d_1 + d_2 + d_3 + d_4=11+11 + 15+15=52\)

Answer:

The perimeter of the rectangle is \(52\)