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09-09-2022
Mathematics

Answered

A trapezoid has a height of 12 inches, a base length of 9 inches, and an area of 150 square inches. What is the length of the other base?

Answer :

QWTiffany QWTiffany

12-09-2022

The length of other base is 16 inch.

The area of trapezoid is given by the formula -

Area = 1/2×(a+b)×height, where a and b represents the two different bases. Let a be the length of 9 inches and b be the length of other base.

150 = 1/2×(9 + b)×12

Shifting 2 to Left Hand Side and performing multiplication on both sides.

150×2 = (9 + b)×12

300 = 108 + 12b

12b = 300 - 108

12b = 192

Shifting 12 to Right Hand Side of equation to find the other base

b = 192 ÷ 12

Performing division

b = 16 inch

Hence, the length of other base is 16 inch.

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