SOLUTION: The length of a fence is 10 times it's height. The number of sq. ft. in the fence is equal to twice the cube of height. Determine length and height of fence. Let l = length.

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Question 1105689: The length of a fence is 10 times it's height. The number of sq. ft. in the fence is equal to twice the cube of height. Determine length and height of fence.

Let l = length.
Let h = height.
l = 10h.
Not sure from here. Non-homework.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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The length of a fence is 10 times it's height. The number of sq. ft. in the fence is equal to twice the cube of height. Determine length and height of fence.
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h, height of fence
length is 10h.
h%2A10h=2%2A%28h%5E3%29,... think about it! This is just the literal translation of the description into an equation.

highlight_green%2810h%5E2=2%2Ah%5E3%29... simplification
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5h%5E2=h%5E3------both sides were multiplied by 1%2F2.
h%5E3-5h%5E2=0
h%5E2%28h-5%29=0

You want to solve that for h.
h=0 is meaningless.
The part you want is h-5=0
highlight%28h=5%29------------------Height

You already read that length is 10h, so length is highlight%2850%29.