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
864 square inches
864 square inches
756 square inches
756 square inches
882 square inches
The area of the trapezoid-shaped tabletop can be found by imagining it as a rectangle with a triangle on top.
Let's imagine the trapezoid as a rectangle with uprights on the two sides. The height of the trapezoid will be the same as that of the rectangle, and the sum of the two bases of the trapezoid will be the length of the rectangle.
Given that the sum of the two bases is 27 inches and the height is 36 inches, we can split the trapezoid into a 27 x 36 rectangle and a pair of right triangles.
To find the area of the trapezoid, we calculate the area of the rectangle (27 x 36 = 972 square inches) and divide it by 2 to account for the triangles on top. Therefore, the area of the trapezoid-shaped tabletop is 486 square inches.
Therefore, the correct answer is not listed but the area of the tabletop is 486 square inches.