To cover a garden path, a landscape designer plans to cover a walkway with parallelogram-shaped paving stones. Construct a rectangle to find the area covered by 4 paving stones. What is the area in square inches?

(1 point)
Responses

128 square inches
128 square inches

160 square inches
160 square inches

52 square inches
52 square inches

40 square inches
40 square inches

Given a square with four squares
one of the small squares has a 5in by 8in with inside measurement of 4in

1 answer

To determine the area covered by 4 parallelogram-shaped paving stones, we first need to understand the dimensions of each stone. If we have a single paving stone shaped like a rectangle, we can calculate its area and then multiply by the number of stones.

Let’s use the dimensions you provided: a single paving stone has dimensions of 5 inches by 8 inches.

The area \( A \) of one rectangle can be calculated using the formula:

\[ A = \text{length} \times \text{width} \]

Substituting the values we have:

\[ A = 5 , \text{inches} \times 8 , \text{inches} = 40 , \text{square inches} \]

Since we need to find the total area covered by 4 paving stones, we multiply the area of one stone by 4:

\[ \text{Total area} = 4 \times 40 , \text{square inches} = 160 , \text{square inches} \]

Therefore, the area covered by 4 paving stones is:

160 square inches.