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The perimeter of a parallelogram is 88 cm. The length of one of its sides is 4 cm more than that of its adjacent side. What is the length of the longer side of the parallelogram?

Let the adjacent sides of the parallelogram be x and y.

Let us assume that x is the longer side, i.e x=y+4.

Perimeter of parallelogram=2(x+y)

i.e 2(y+4+y)=88

i.e 2y+4=44

i.e 2y=40, i.e y=20

Thus the longer side = x = y+4=20+4 = 24 cm

Regards.

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