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
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
To find the area of a trapezoid, we use the formula:
Area = (1/2) * (base1 + base2) * height
Based on the image provided, the trapezoid has a height of 9 inches.
The length of base1 is 15 inches and the length of base2 is 25 inches.
Plugging these values into the formula, we get:
Area = (1/2) * (15 + 25) * 9
= (1/2) * 40 * 9
= 20 * 9
= 180 square inches.
Therefore, the correct answer is not listed. None of the given options match the calculated area of 180 square inches.