SOLUTION: A rectangular yard is fenced on all four sides. The total length of the fence is 320 feet. The length of the yard is 26 feet greater than its width. Find the dimensions of the

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Question 762189: A rectangular yard is fenced on all four sides. The total length of the fence is 320 feet.
The length of the yard is 26 feet greater than its width.
Find the dimensions of the yard.
Found 2 solutions by Stitch, Cromlix:
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
The equation for the perimeter of a rectangle is P = 2L + 2W.
Equation 1: 320+=+2L+%2B+2W
Equation 2: L+=+W+%2B+26
Plug (W + 26) into equation 1 for L.
320+=+2%2A%28W+%2B+26%29+%2B+2W
Multiply the 2 through.
320+=+2W+%2B+52+%2B+2W
Combine like terms.
320+=+4W+%2B+52
Subtract 52 from both sides.
268+=+4W
Divide both sides by 4.
highlight%2867+=+W%29
Now plug 67 into equation 2 for W and solve for L.
Equation 2: L+=+W+%2B+26
L+=+%2867%29+%2B+26
highlight_green%28L+=+93%29

Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Width = x
Length = x + 26
Perimeter = 2*length + 2*width
320 = 2*(x + 26) + 2x
320 = 2x + 52 + 2x
320 = 4x + 52
320 - 52 = 4x
4x = 268
x = 67.
Width = 67 feet
Length = 93 feet.