SOLUTION: The perimeter of a rectangular window is 30 feet. The width of the window is 3 feet more than the length. What are the dimensions of the window?

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Question 1044830: The perimeter of a rectangular window is 30 feet. The width of the window is 3 feet more than the length. What are the dimensions of the window?
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
The perimeter of a rectangular window is 30 feet. The width of the window is 3 feet more than the length. What are the dimensions of the window?
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L + W = 15,   (1)   (15 = 30%2F2;  L is the length, W is the width)
L - W =  3.   (2)   (according to the condition)

Add equations (1) and (2). You will get

2L = 15 + 3 = 18.

Hence, L = 18%2F2 = 9.  It is the length, 9 ft.

The width is W = L - 3 = 9 - 3 = 6 ft.

Answer.  L = 9 ft, W = 6 ft.

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Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

The perimeter of a rectangular window is 30 feet. The width of the window is 3 feet more than the length. What are the dimensions of the window?
Let length be L, and width, W
Then, W = L + 3
2(L + W) = 2(15)
L + W = 15
L + L + 3 = 15 ----- Substituting L + 3 for W
2L = 15 - 3
2L = 12
L, or length = 12%2F2, or highlight_green%28matrix%281%2C2%2C+6%2C+feet%29%29
Width: 6 + 3, or highlight_green%28matrix%281%2C2%2C+9%2C+feet%29%29