Answer: The length is 16 feet
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P = 48 is the perimeter
W = width
L = length = 2*W
perimeter of rectangle = 2*(L+W)
P = 2*(L+W)
48 = 2*(2W+W) .... replace L with 2W
48 = 2*(3W)
48 = 6W
6W = 48
W = 48/6 .... divide both sides by 6
W = 8
L = 2*W
L = 2*8 .... plug in W = 8
L = 16
The rectangle has a length and width of 16 feet and 8 feet.
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Check:
P = 2*(L+W)
P = 2*(16+8)
P = 2*24
P = 48
Or you could think of it as
P = length+width+length+width
P = 16+8+16+8
P = 24+24
P = 48
The answer has been confirmed.
