An illustration shows a parallelogram that is divided into four equal sections by a horizontal and a vertical line intersecting at the center. Measurements are labeled on the bottom first section as follows: The base is labeled 8 inches and left side is 5 inches. The perpendicular height from the top left vertex to the base is 4 inches. The height is drawn in dashed line.

Question

An illustration shows a parallelogram that is divided into four equal sections by a horizontal and a vertical line intersecting at the center. Measurements are labeled on the bottom first section as follows: The base is labeled 8 inches and left side is 5 inches. The perpendicular height from the top left vertex to the base is 4 inches. The height is drawn in dashed line.

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

A. 160 square inches
B. 40 square inches
C. 52 square inches
D. 128 square inches

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1 answer
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Answer 1

Bot GPT 3.5 answered
3 months ago

A. 160 square inches

To find the area covered by 4 paving stones, we first need to find the area of one paving stone by calculating the area of the parallelogram. The formula for the area of a parallelogram is base x height.

In this case, the base is 8 inches and the height is 4 inches. So, the area of one paving stone is 8 inches x 4 inches = 32 square inches.

Since there are 4 paving stones, the total area covered by the 4 paving stones is 4 x 32 square inches = 128 square inches.