Question

question 1 (2 points)
perimeter=
area=
blank 1:
blank 2:
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Explanation:

Step1: Calculate the perimeter

By using the translation method, we can find that the perimeter of this figure is equal to the perimeter of a rectangle with length \(6\) yd and width \((3 + 2)\) yd.
The formula for the perimeter of a rectangle is \(P=2\times(l + w)\), where \(l = 6\) yd and \(w=3 + 2=5\) yd.

$$P = 2\times(6 + 5)=2\times11 = 22$$

Step2: Calculate the area

We can divide the figure into two parts. One is a rectangle with length \(6\) yd and width \(2\) yd, and the other is a trapezoid.
The area of the rectangle \(A_1=6\times2 = 12\) square - yards.
For the trapezoid, the parallel sides are \(a = 3\) yd and \(b=(6 - 2)=4\) yd, and the height \(h=(3 + 2-2)=3\) yd.
The formula for the area of a trapezoid is \(A_2=\frac{(a + b)h}{2}\), so \(A_2=\frac{(3 + 4)\times3}{2}=\frac{21}{2}=10.5\) square - yards.
The total area \(A=A_1+A_2=12 + 10.5=22.5\) square - yards.

Answer:

Blank 1: \(22\)
Blank 2: \(22.5\)