Question

charmaines backyard has a patio and a garden. find the area of the garden. (sides meet at right angles.)

Explanation:

Step1: Calculate the area of the large square

The large - square has side length 6 yards. The area formula for a square is $A = s^2$, where $s$ is the side - length. So the area of the large square is $A_{total}=6\times6 = 36$ square yards.

Step2: Calculate the area of the patio

The patio is a rectangle with length 4 yards and width 2 yards. The area formula for a rectangle is $A = l\times w$, where $l$ is the length and $w$ is the width. So the area of the patio is $A_{patio}=4\times2=8$ square yards.

Step3: Calculate the area of the garden

The area of the garden is the area of the large square minus the area of the patio. So $A_{garden}=A_{total}-A_{patio}=36 - 8=28$ square yards.

Answer:

28