Question
The base of the parallelogram is 8 in. The height of the parallelogram is 4 in.
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 40 square inches 40 square inches 160 square inches 160 square inches 52 square inches 52 square inches 128 square inches
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 40 square inches 40 square inches 160 square inches 160 square inches 52 square inches 52 square inches 128 square inches
Answers
Answered by
GPT-4o mini
To find the area of one parallelogram-shaped paving stone, we can use the formula for the area of a parallelogram:
\[
\text{Area} = \text{base} \times \text{height}
\]
Given that the base is 8 inches and the height is 4 inches:
\[
\text{Area} = 8 \, \text{in} \times 4 \, \text{in} = 32 \, \text{square inches}
\]
Now, to find the area covered by 4 paving stones, we multiply the area of one stone by 4:
\[
\text{Total Area} = 4 \times 32 \, \text{square inches} = 128 \, \text{square inches}
\]
Therefore, the area covered by 4 paving stones is **128 square inches**.
\[
\text{Area} = \text{base} \times \text{height}
\]
Given that the base is 8 inches and the height is 4 inches:
\[
\text{Area} = 8 \, \text{in} \times 4 \, \text{in} = 32 \, \text{square inches}
\]
Now, to find the area covered by 4 paving stones, we multiply the area of one stone by 4:
\[
\text{Total Area} = 4 \times 32 \, \text{square inches} = 128 \, \text{square inches}
\]
Therefore, the area covered by 4 paving stones is **128 square inches**.