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Answer :
Answer:
Length = 15 inches.
Step-by-step explanation:
Formula for the perimeter of a rectangle:
The formula for the perimeter of a rectangle is given by:
P = 2L + 2W, where
- P is the perimeter,
- L is the length,
- and W is the width.
Finding an equation relating length and width:
Since we're told that the width is 4 inches longer than the length, we can represent this with the following equation:
W = L + 4
Finding the length:
Since the perimeter is 68 inches, we can find the length by substituting 68 for P and L + 4 for W in the rectangle perimeter formula:
68 = 2L + 2(L + 4)
68 = 2L + 2L + 8
(68 = 4L + 8) - 8
(60 = 4L) / 4
15 = L
Thus, the length is 15 inches.
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