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
160 square inches
128 square inches
40 square inches
52 square inches
To find the area covered by 4 parallelogram-shaped paving stones, we need to find the area of one paving stone first.
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:
Area = base x height = 8 inches x 4 inches = 32 square inches
Since we have 4 paving stones, we can find the total area covered by all 4 paving stones by multiplying the area of one paving stone by 4:
Total area = 32 square inches x 4 = 128 square inches
Therefore, the area covered by 4 paving stones in square inches is 128 square inches. The correct answer is:
128 square inches