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?
~~~~~~~~~~~~~~~~~ 


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.

-----------------

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.


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