SOLUTION: A rectangle has a perimeter of 600 in. Express the area, A, of the rectangle as a function of the length of one of its sides x.

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Question 503181: A rectangle has a perimeter of 600 in. Express the area, A, of the rectangle as a function of the length of one of its sides x.
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
If one side is , the opposite side is also
Their sum is
Call the other 2 sides
Call the perimeter

solve for


And, since ,

The area os the rectangle is


Here's a plot of area and x:
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