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
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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:
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Plug (W + 5) into equation 1 for L
Equation 1:
Simplify
Simplify
Subtract 10 from both sides
Divide both sides by 4
Now plug 4 into equation 2 for W
Equation 2:
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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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