A trapezoid has an area of 166.5 in.², a height of 9 in., and one base measuring 15 in. What is the length of the other base? A) 3.5 in. B) 7 in. C) 18.5 in. D) 22 in.

Question

asked Jul 24, 2017 223k views

2 Answers

Mrcaramori · Answer 1 · 2017-07-28T18:35:32+0000

Answer:

D) 22 in

Explanation:

Area of a trapezoid A = h/2*(base 1 + base 2)

Given:

A = 166.5

h = 9, base 1 = 15

Plugging in the given values into the formula, we get

166.5 = 9/2*(15 + base 2)

166.5 = 4.5(15 + base2)

166.5/4.5 = 15 + base 2

37 = 15 + base 2

base 2 = 37 - 15

base 2 = 22 in

Answer: D) 22 in