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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?

A3.5 in.
B7 in.
C18.5 in.
D22 in.

Verified Answer :

eleventhdocofwho

The answer is D) 22 in.

Answer:

D) 22 in

Step-by-step 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

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