SOLUTION: The width of a rectangle is 4 inches less than one half the length. Find the length and width of the rectangle if the perimeter is 46 inches.

Algebra ->  Rectangles -> SOLUTION: The width of a rectangle is 4 inches less than one half the length. Find the length and width of the rectangle if the perimeter is 46 inches.      Log On


   



Question 690520: The width of a rectangle is 4 inches less than one half the length. Find the length and width of the rectangle if the perimeter is 46 inches.
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Set-Up
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X = length
Y = width
Equation 1: 46+=+2X+%2B+2Y
Equation 2: X+=+2Y+%2B+8 That came from 2*(Y+4)
Solution:
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Plug (2Y + 8) into equation 1 for X
Equation 1: 46+=+2X+%2B+2Y
46+=+2%282Y+%2B+8%29+%2B+2Y Simplify
46+=+4Y+%2B+16+%2B+2Y Combine like terms
46+=+6Y+%2B+16 Subtract 16 from both sides
30+=+6y Divide both sides by 6
highlight%285+=+Y%29
Now plug 5 into equation 2 for Y
Equation 2: X+=+2Y+%2B+8
X+=+2%2A%285%29+%2B+8
highlight%28X+=+18%29