SOLUTION: The length of a rectangle is 8 in. more than twice its width. The perimeter of the rectangle of 70 in. Find the length and with of the rectangle.

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Question 168683: The length of a rectangle is 8 in. more than twice its width. The perimeter of the rectangle of 70 in. Find the length and with of the rectangle.
Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Let L = the length and W = the width.
The perimeter of a rectactangle is given by:

From the problem, you have L = 2W+8 (The length is 8 in. more than twice its width). And P = 70 in. Substitute these for L and P in the formula.
Simplify.

Subtract 16 from both sides.
Divide both sides by 6.
and




The length is 26 in. and the width is 9 in.
Check:
Substitute L = 26 and W = 9


It checks!

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