Question

hector installs a stone patio around his house. which expression can be used to find the area of the patio? 95(60) - 75(40) what is the area of the patio? a = ft²

Explanation:

Step1: Calculate the area of the larger rectangle

The formula for the area of a rectangle is \(A = length\times width\). For the larger rectangle with length \(95\) ft and width \(60\) ft, the area \(A_1=95\times60 = 5700\) square - feet.

Step2: Calculate the area of the smaller rectangle

For the smaller rectangle with length \(75\) ft and width \(40\) ft, using the area formula \(A = length\times width\), the area \(A_2 = 75\times40=3000\) square - feet.

Step3: Calculate the area of the patio

The area of the patio is the difference between the area of the larger rectangle and the area of the smaller rectangle. So \(A=A_1 - A_2\). Substitute \(A_1 = 5700\) and \(A_2 = 3000\) into the formula: \(A=95\times60−75\times40=5700 - 3000\).

Answer:

\(2700\)