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A trapezoid has an area of 123.265 square miles. One base is 17.8 miles long. The height measures 8.9 miles. What is the length of the other base?

Guest Apr 1, 2018
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The area, A, of a trapezoid is given by :

 

A =  height *  ( sum of the base lengths) / 2

 

So we have

 

123.265 = 8.9 * ( 17.8  + missing base)  / 2

Multiply both sides by 2

 

247.25  =  8.9 * (17. 8 + missing base ) 

Divide both sides by 8.9

 

27.78   =  17.8 + missing base   

Subtract 17.8  from both sides

 

≈ 9.98 miles  = missing base

 

 

cool cool cool

CPhill  Apr 1, 2018

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