The area of a trapezoid is 150 in². If the height is 8 in and the longer base is 23 in, what is the length of the shorter base?

Question

Anonymous · Answer

A = 150 i n 2 h = 8 in ; a = 23 in ; b = ? A = 2 a + b ​ ⋅ h 2 23 + b ​ ⋅ 8 = 150 ( 23 + b ) ⋅ 4 = 150 / : 4 23 + b = 37.5 / − 23 b = 14.5 ( in ) ← an s w er

Anonymous · Answer

The length of the shorter base of the trapezoid is 14.5 inches, calculated using the formula for the area of a trapezoid. This involves substituting the known values into the area formula, simplifying, and solving for the unknown base. The steps lead us to the conclusion that the shorter base measures 14.5 inches. 
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The area of a trapezoid is 150 in². If the height is 8 in and the longer base is 23 in, what is the length of the shorter base?

Answer (2)

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