What is the area of the trapezoid shown? The figure is not drawn to scale.

Image: www(dot)connexus(dot)com/content/media/941080-7222013-13510-PM-726172257(dot)gif

a. 816.75 in.²
b. 527.04 in.²
c. 408.375 in.²
d. 263.52 in.²

1 answer

To find the area of a trapezoid, you need to multiply the average of the two bases by the height. In this case, the bases are 24 inches and 34 inches, so the average is (24+34)/2 = 29 inches. The height is given as 15.75 inches.

Area = (29 in.)(15.75 in.) = 457.875 in.²

Therefore, the closest answer choice is c. 408.375 in.²