SOLUTION: help please! a trapezoid has an area of 185d^2 sq. meters and a height of 15d meters. the lower base is 10 more than the upper base. find the length of the upper base.

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Question 363774: help please!
a trapezoid has an area of 185d^2 sq. meters and a height of 15d meters. the lower base is 10 more than the upper base. find the length of the upper base.
Found 2 solutions by amoresroy, robertb:
Answer by amoresroy(361) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = length of upper base

Area = h * (upper base + lower base)/2
15d * (x + x + 10)/2 = 185d
Multiply both sides by 2/15
2x + 10d = 185d (2/15)
2x = 24.67d - 10d
2x = 14.67d
x = 7.33d

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
I will assume that the problem is as follows:
a trapezoid has an area of 185d%5E2 sq. meters and a height of 15d meters. The lower base is 10d meters more than the upper base. Find the length of the upper base.
Then the solution is as follows: 185d%5E2+=+%2815d%2F2%29%28u+%2B+u%2B10%29, where u is the length of the upper base. Then
74d%2F3+=+2u+%2B+10d, after simplification.
74d%2F3+-+10d+=+2u,
44d%2F3+=+2u,
u+=+22d%2F3 meters, the length of the upper base.