Question

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

Explanation:

Step1: Identify the areas

The patio area can be found by subtracting the area of the house (the inner rectangle) from the area of the outer rectangle (including the patio and the house). The outer rectangle has dimensions \( 95 \, \text{ft} \) (length) and \( 60 \, \text{ft} \) (width), so its area is \( 95 \times 60 \). The inner rectangle (house) has dimensions \( 75 \, \text{ft} \) (length) and \( 40 \, \text{ft} \) (width), so its area is \( 75 \times 40 \).

Step2: Form the expression

To find the patio area, we subtract the inner area from the outer area: \( 95(60) - 75(40) \).

Answer:

\( 95(60) - 75(40) \)