SOLUTION: The perimeter of a rectangle is 240 inches. The length of the rectangle is 4 times the width. Find the dimensions of the rectangle.

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Question 409315: The perimeter of a rectangle is 240 inches. The length of the rectangle is 4 times the width. Find the dimensions of the rectangle.
Answer by peter_toribio90(6) (Show Source):
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The perimeter of a rectangle is 240 inches. The length of the rectangle is 4 times the width. Find the dimensions of the rectangle.
As geometry generally says, the formula for the perimeter of a rectangle is:

Since the length of the rectangle is 4 times the width, we say

Now, by substitution of the given data, we get
Notice that the length is replaced with 4w as a result of the equation above.
Multiplication (2 x 4w = 8w).
Addition (8w + 2w = 10).
Division on both sides.
Result. (240/10 = 24)
***Since we now have the value of w (width), all we need to do is substitute it to the formula l = 4w (above).

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The dimension are:
length = 96
width = 24
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