SOLUTION: A triangular flower bed is to be enclosed by a small picket fence. If the base (b) of the triangle measures 40 feet minus the measure of its height (h), what height and base length

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Question 1057277: A triangular flower bed is to be enclosed by a small picket fence. If the base (b) of the triangle measures 40 feet minus the measure of its height (h), what height and base length will give the maximum area? what is the maximum area?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Area is %281%2F2%29bh and b=40-h.
A=%281%2F2%29%2840-h%29h
A=%281%2F2%29%2840h-h%5E2%29
A=20h-%281%2F2%29h%5E2

Finding maximum A,
dA%2Fdh=20-h=0
h=20-----------height for maximum A.

Base, b=40-20
b=20


Notice that this will be a right isosceles triangle. HALF of a square.