Use the image to answer the 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
52 square inches
52 square inches
40 square inches
40 square inches
160 square inches
160 square inches
128 square inches
128 square inches
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To find the area covered by 4 paving stones, we first need to find the area of one paving stone which is a parallelogram. The area of a parallelogram is calculated by multiplying the base by the height.
In this case, the base is 8 inches and the height is 4 inches (perpendicular height from the top left vertex to the base). So the area of one paving stone is 8 inches x 4 inches = 32 square inches.
To find the total area covered by 4 paving stones, we need to multiply the area of one paving stone by 4: 32 square inches x 4 = 128 square inches.
Therefore, the area covered by 4 paving stones is 128 square inches. The correct answer is 128 square inches.