Question 516754
Perimeter = 2(L+W) =60
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W = 1/4*L
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substitute
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2(L+W) = 60
2L +2(1/4*L) = 60
2L + 1/2L = 60
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multiply by 2 to cancel the fraction
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4L + L = 120
5L = 24
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W = 1/4*24 = 6
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check the perimeter
P = 2(24+6) = 2(30) = 60
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Answer:  Length = 24, Width = 6
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Done.