SOLUTION: 1. The length of a rectangular window is 5 feet more than its width, w. The area of the window is 36 square feet. Write an equation to represent the area of the window. Please ha

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Question 949266: 1. The length of a rectangular window is 5 feet more than its width, w. The area of the window is 36 square feet. Write an equation to represent the area of the window. Please have your final equation equal to zero.
Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
1. The length of a rectangular window is 5 feet more than its width, w. The area of the window is 36 square feet. Write an equation to represent the area of the window.
Area = L*W
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Please have your final equation equal to zero.
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Do you have a question?

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

first, you know that the window is a rectangular, and the area is A=L%2AW
given that the length L of a window is 5ft more than its width W,
so, we have L=W%2B5ft...eq.1
if the area of the window is A=36ft%5E2, then we have
36ft%5E2=L%2AW....substitute L from eq.1
36ft%5E2=%28W%2B5ft%29%2AW......solve for W
36ft%5E2=W%5E2%2B5ft%2AW
0=W%5E2%2B5ft%2AW-36ft%5E2
0=W%5E2%2B5ft%2AW-36ft%5E2...factor completely
0=W%5E2%2B9ft%2AW-4ft%2AW-36ft%5E2
0=%28W%5E2%2B9ft%2AW%29-%284ft%2AW%2B36ft%5E2%29
0=W%28W%2B9ft%29-4ft%28W%2B9ft%29
%28W-4ft%29%28W%2B9ft%29+=+0
solutions:
if %28W-4ft%29+=+0=> W=4ft
if %28W%2B9ft%29+=+0=>W=-9ft..we cannot use this solution, the width cannot be negative
so, the width is highlight%28W=4ft%29
go to eq.1 and find the length:
L=W%2B5ft...eq.1
L=4ft%2B5ft
highlight%28L=9ft%29