Question

keishas 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 rectangle

The formula for the area of a rectangle is \(A = length\times width\). The length of the large rectangle is \(5\) yd and the width is \(6\) yd. So, \(A_{total}=5\times6 = 30\) square yards.

Step2: Calculate the area of the patio

The patio is a square with side length \(3\) yd. Using the area formula \(A = s\times s\) (where \(s\) is the side - length of the square), \(A_{patio}=3\times3=9\) square yards.

Step3: Calculate the area of the garden

The area of the garden \(A_{garden}=A_{total}-A_{patio}\). Substitute the values: \(A_{garden}=30 - 9=21\) square yards.

Answer:

\(21\)