Mathematics
Two adjacent sides of a parallelogram are 36 cm and 25 cm. If the distance between longer sides is 15 cm, find the distance between the shorter sides.
Mensuration
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Answer
Let ABCD be a parallelogram with side AB = 36 cm and side BC = 25 cm.
Distance between longer side DM = 15 cm
Consider DN as the distance between the shorter sides.
Area of parallelogram ABCD = base × height
= AB × DM = 36 × 15 = 540 cm2.
Considering base BC and height DN.
Area of parallelogram ABCD = BC × DN
⇒ 540 = 25 × DN
⇒ DN = = 21.6 cm.
Hence, the distance between shorter sides = 21.6 cm.
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