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in Perimeter and Area of Plane Figures by (30.3k points)
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The adjacent sides of a parallelogram are 32 cm and 24 cm. If the distance between the longer sides is 17.4 cm, find the distance between the shorter sides.

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Longer side = 32 cm

Shorter side = 24 cm

Let the distance between the shorter sides be x cm.

Area of a parallelogram = Longer side x Distance between the longer sides

= Shorter side x Distance between the shorter sides

or, 32 x 17.4 = \(24\times x\)

or, \(x=\frac{32\times 17.4}{24}=23.2\) cm

∴ Distance between the shorter sides = 23.2 cm

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