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Let the larger side be 4x and and the shorter side be x:

2(4x+x) = 150

8x+2x = 150

10x = 150

x = 15

Therefore the length of the shorter side is 15 units.

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Q: One side of a rectangle is 4 times the other and perimeter is not to exceed 150 Find possible value for X the length of the shorter side?
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