A parallelogram has adjacent sides 15 cm and 12 cm. The perpendicular distance between the two 15 cm sides is 8 cm. Find the perpendicular distance between the two 12 cm sides, in cm.

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Accepted Answer

10. A parallelogram has one area however it is measured: base × height = 15 × 8 = 120 cm². Taking the 12 cm side as base, 12 × h = 120, so h = 10 cm. (Scaling 8 the wrong way, 8 × 12/15 = 6.4, is the usual slip — as the base shrinks the height must grow.)

A parallelogram has adjacent sides 15 cm and 12 cm. The perpendicular distance between the two 15 cm sides is 8 cm. Find the perpendicular distance between the two 12 cm sides, in cm.

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