SOLUTION: Suppose that a rectangle has a perimeter of 20 meters. Express the area A(x) of the rectangle in terms of the length x of one of its sides. A(x) =

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Question 254502: Suppose that a rectangle has a perimeter of 20 meters. Express the area A(x) of the rectangle in terms of the length x of one of its sides. A(x) =
Answer by solver91311(24713) About Me  (Show Source):
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Let represent the measure of one of the sides. Let represent the measure of an adjacent side.

The perimeter, , of a rectangle is given by:



Where is the measure of the length and is the measure of the width].

Solving the equation for we get:



So, if in the given rectangle, represents the length and the perimeter is 20, then the width of the rectangle would be represented by

The Area of a rectangle is given by the length times the width, so:




John