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) (Show Source): You can put this solution on YOUR website!
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:
\ =\ \left(\frac{20\,-\,2x}{2}\right)x\ =\ \frac{20x\,-\,2x^2}{2}\ =\ 10x\ -\ x^2)
John
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