SOLUTION: A rectangular garden is three times longer as it is wide. If the area of the garden is 1083 feet, find the length and width of the garden

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Question 688754: A rectangular garden is three times longer as it is wide. If the area of the garden is 1083 feet, find the length and width of the garden
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Set-Up
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A = L * W (Area of a rectangle)
Given: A = 1083, L = 3W
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Solution:
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Substitute the given information into the equation for the area of a rectangle
%281083%29+=+%283W%29+%2A+W Simplify
1083+=+3W%5E2 Divide both sides by 3
361+=+W%5E2 Take the squareroot of both sides
sqrt%28361%29+=+W
highlight%2819+=+W%29
Now we can find the length
L =3W
Plug 19 in for W
L+=+3%2A%2819%29
highlight_green%28L+=+57+feet%29