SOLUTION: the length of a rectangle is 5 centimeters more than its width. if the perimeter of the rectangle is 26 centimeters what is the area of the rectangle, in square centimeters

Question 698126: the length of a rectangle is 5 centimeters more than its width. if the perimeter of the rectangle is 26 centimeters what is the area of the rectangle, in square centimeters
Answer by Stitch(470) (Show Source): You can put this solution on YOUR website!
Set-Up
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L = length
W = width
The perimiter of a rectangle is given by P = 2L + 2W
Given: P = 26
Equation 1:
Equation 2:
Solution:
--------------
Plug (W + 5) into equation 1 for L
Equation 1:

Simplify

Subtract 10 from both sides

Divide both sides by 4

Now plug 4 into equation 2 for W
Equation 2:

-------------------------------
The equation for the area of a rectangle is A = L*W
So:

The area of the rectangle is 36 square centimeters

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