SOLUTION: A rectangle has a perimeter of 10 ft. Find a function that models its area A in terms of the length x of one of its sides.

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Question 802102: A rectangle has a perimeter of 10 ft. Find a function that models its area A in terms of the length x of one of its sides.
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
What do you know about a rectangle?
For yours, x and y are the side lengths,
2x%2B2y=10, A=xy, elaborating on this notation, A%28x%29=xy.


Solve the perimeter equation for y and substitute into A(x).

2x%2B2y=10
x%2By=5
y=5-x
Now substitute:
A%28x%29=x%285-x%29
highlight%28A%28x%29=-x%5E2%2B5x%29