Question

question 1 (2 points)
perimeter= yards
area= square yards
blank 1:
blank 2:

Explanation:

Step1: Calculate the perimeter

The perimeter of a shape is the sum of all its side - lengths.
The side - lengths are \(2 + 3+6 + 2+3 + 2\)

$$2+3 + 6+2+3+2=(2 + 2+2)+(3 + 3)+6=6 + 6+6 = 18$$

Step2: Calculate the area

We can divide the shape into two parts: a rectangle and a trapezoid.
First, find the height of the trapezoid. The height of the trapezoid \(h=3 - 2=1\) yd. The bases of the trapezoid \(b_1 = 2\) yd and \(b_2=6-(2 + 2)=2\) yd.
The area of the rectangle \(A_1=2\times3 = 6\) square yd.
The area of the trapezoid \(A_2=\frac{(b_1 + b_2)h}{2}=\frac{(2 + 2)\times1}{2}=2\) square yd.
The area of the other rectangle \(A_3=2\times2 = 4\) square yd.
The total area \(A=A_1+A_2+A_3=6 + 2+4=12\) square yd.

Answer:

Blank 1: \(18\)
Blank 2: \(12\)