Question

find the area of the shape. (sides meet at right - angles.)

Explanation:

Step1: Divide the shape into rectangles

We can divide the given shape into three rectangles.

Step2: Calculate the area of the first rectangle

The first rectangle on the left has dimensions 1 yd by (3 + 3)=6 yd. Area $A_1=1\times6 = 6$ square - yards.

Step3: Calculate the area of the second rectangle

The middle - rectangle has dimensions 2 yd by 3 yd. Area $A_2=2\times3 = 6$ square - yards.

Step4: Calculate the area of the third rectangle

The right - hand rectangle has dimensions (2 + 6+2) yd by 2 yd. Area $A_3=(2 + 6+2)\times2=20$ square - yards.

Step5: Calculate the total area

The total area $A = A_1+A_2+A_3=6 + 6+20=32$ square - yards.

Answer:

32 square yards