SOLUTION: The area of a trapezoid is 187 cm squared. The height is 22 cm and the length of one of the parallel side is 6 cm. Find the length of the other parallel side.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The area of a trapezoid is 187 cm squared. The height is 22 cm and the length of one of the parallel side is 6 cm. Find the length of the other parallel side.      Log On


   

Question 976740: The area of a trapezoid is 187 cm squared. The height is 22 cm and the length of one of the parallel side is 6 cm. Find the length of the other parallel side.
Found 2 solutions by josgarithmetic, lwsshak3:
Answer by josgarithmetic(39618) About Me  (Show Source):
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Let b and t be the lengths of each parallel side. Let A=187 for area. Let h=22 for height. Let b=6, for one of the parallel sides so that t is unknown.

A=h%281%2F2%29%28b%2Bt%29, so that the average of the two bases will be used.

b%2Bt=2A%2Fh

highlight%28t=2A%2Fh-b%29

t=2%2A187%2F22-6

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a trapezoid is 187 cm squared. The height is 22 cm and the length of one of the parallel side is 6 cm. Find the length of the other parallel side.
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area of a trapezoid=h/2(a+b), h=height, a=one of the parallel sides, b=other parallel side
(22/2)(a+6)=187
11a+66=187
11a=121
a=11
length of the other parallel side=11