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 two rectangles. One rectangle has dimensions 2 yd by 6 yd and the other has dimensions (2 + 2) yd by 2 yd.

Step2: Calculate area of first rectangle

The area formula for a rectangle is $A = l\times w$. For the first rectangle with length $l = 6$ yd and width $w = 2$ yd, $A_1=6\times2 = 12$ square - yards.

Step3: Calculate area of second rectangle

The length of the second rectangle is $l=(2 + 2)=4$ yd and width $w = 2$ yd. Using the area formula $A = l\times w$, we get $A_2=4\times2=8$ square - yards.

Step4: Calculate total area

The total area $A$ of the shape is the sum of the areas of the two rectangles, $A=A_1 + A_2$. So $A=12 + 8=20$ square - yards.

Answer:

20