SOLUTION: A rectangle has perimeter 88 inches. Express the area of the rectangle as a function, A(x), of the length x of one of its sides.

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Question 790130: A rectangle has perimeter 88 inches. Express the area of the rectangle as a function,
A(x), of the length x of one of its sides.
Found 2 solutions by solver91311, lwsshak3:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Since where and are the measures of the sides of the rectangle and we can say:



Then, since

We can substitute to get:



Or, in general for perimeter = ,




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Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
A rectangle has perimeter 88 inches. Express the area of the rectangle as a function,
A(x), of the length x of one of its sides
***
let x=length of rectangle
let y=length of width
2x+2y=88
2y=88-2x
y=(88-2x)/2=44-x
..
Area,A(x)=x*y=x(44-x)=88-x^2