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The formula for the perimeter of a rectangle is P = 2L + 2W, where P is the perimeter, L is the length, and W is the width.
Given that the width is 6 inches and the perimeter is 42 inches, we can substitute these values into the formula:
42 = 2L + 2(6)
Simplifying the equation, we get:
42 = 2L + 12
Subtracting 12 from both sides:
30 = 2L
Dividing both sides by 2:
15 = L
Therefore, the length of the rectangle is 15 inches.