To find the area of the trapezoid-shaped tabletop, we can compose a rectangle by extending the slanted side of the trapezoid down to create a rectangle with the height of the trapezoid and the longer base as the length.
The longer base of the trapezoid is 48 inches and the height is 18 inches, so the area of the rectangle (and the trapezoid) would be 48 inches * 18 inches = 864 square inches.
Therefore, the area of the tabletop is 864 square inches.
Correct Response:
864 square inches
Use Area to Solve Problems Quick Check
1 of 51 of 5 Items
Question
Use the image to answer the question.
An illustration shows a trapezoid with shorter base of length 36 and the opposite longer side of length 48. The legs on the left and right sides are of length 21. The perpendicular height from the bottom left vertex to the longer side is 18. The length between the top left vertex of the longer side and the point where the height meets the longer side is labeled 6. The height is shown in a dashed line.
Compose a rectangle to help find the area of a trapezoid-shaped tabletop in square inches. What is the area of the tabletop?
(1 point)
Responses
648 square inches
648 square inches
756 square inches
756 square inches
882 square inches
882 square inches
864 square inches
1 answer
1 answer