Mathematics
Two adjacent sides of a parallelogram are 15 cm and 10 cm. If the distance between the longer sides is 8 cm, find the area of the parallelogram. Also find the distance between shorter sides.
Mensuration
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Answer
Let ABCD be a parallelogram with side AB = 15 cm and side BC = 10 cm.
Distance between longer side DM = 8 cm
Consider DN as the distance between the shorter side
Area of parallelogram ABCD = base × height
= AB × DM = 15 × 8 = 120 cm2.
Considering base BC and height DN
Area of parallelogram = BC × DN
⇒ 120 = 10 × DN
⇒ DN = = 12 cm.
Hence, the area of parallelogram = 120 cm2 and the distance between shorter side = 12 cm.
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