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 larger rectangle has length \( 95 \) ft and width \( 60 \) ft. The area of a rectangle is given by \( \text{length} \times \text{width} \), so the area is \( 95 \times 60 \).

$$ 95 \times 60 = 5700 $$

Step2: Calculate the area of the smaller rectangle

The smaller rectangle (the house) has length \( 75 \) ft and width \( 40 \) ft. Using the same area formula for a rectangle, the area is \( 75 \times 40 \).

$$ 75 \times 40 = 3000 $$

Step3: Subtract the two areas to find the patio area

The area of the patio is the area of the larger rectangle minus the area of the smaller rectangle, so we use the expression \( 95(60) - 75(40) \) and substitute the calculated values.

$$ 5700 - 3000 = 2700 $$

Answer:

\( 2700 \)