SOLUTION: The height of a trapezoid is 8 centimeters and one base is 5 centimeters longer than the other base. If the area of the trapezoid is 68 square centimeters, how long is each base?

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Question 1155453: The height of a trapezoid is 8 centimeters and one base is 5 centimeters longer than the other base. If the
area of the trapezoid is 68 square centimeters, how long is each base?
Found 2 solutions by mananth, ikleyn:
Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website!
.
Area of trapezoid=
88= (1/2) * (x+(x+5)) * 8
simplify
22= 2x+5
2x= 17
x=8.5 one side cm
other side 13.5 cm

Answer by ikleyn(52787) (Show Source):
You can put this solution on YOUR website!
.
The height of a trapezoid is 8 centimeters and one base is 5 centimeters longer than the other base. If the
area of the trapezoid is 68 square centimeters, how long is each base?
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Area of trapezoid = * (sum of parallel sides) * height. 68= (1/2) * (x+(x+5)) * 8 simplify 8.5*2 = 2x+5 2x= 17 - 5 = 12 x = 12/2 = 6 cm the smaller base x + 5 = 6 + 5 = 11 the longer base.

Solved.

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Ignore the answer and the solution by @mananth, since they are wrong.

@Mananth, as I see, you need TWO helpers:

- one to read the problem for you, - and the other to check after you.