Two adjacent sides of parallelogram are 24 cm and 18 cm. If the distance between the longer sides is 12 cm; find the distance between the shorter sides.
Mensuration
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Two adjacent sides of parallelogram are 24 cm and 18 cm. If the distance between the longer sides is 12 cm; find the distance between the shorter sides.

KnowledgeBoat · Accepted Answer

Step 1 Finding the area of the parallelogram. Length of one side of the parallelogram (longer side) = 24 cm Length of the adjacent side (shorter side) = 18 cm The distance between the longer sides = 12 cm Area of parallelogram = base x height = AB x DE = 24 x 12 cm² = 288 cm² Step 2 Finding the sides of the parallelogram. Let `a` be the distance between the shorter sides. Area = base x height = BC x AF = 18 x a Since area of the parallelogram will be same, if we consider AB as the base or BC as the base. ⇒ AB x DE = BC x AF ⇒ 288 = 18 x a ⇒ a = ⇒ a = 16 cm Hence, the distance between the shorter sides of the parallelogram is 16 cm.

Mathematics

Two adjacent sides of parallelogram are 24 cm and 18 cm. If the distance between the longer sides is 12 cm; find the distance between the shorter sides.

Mensuration

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Two adjacent sides of parallelogram are 24 cm and 18 cm. If the distance between the longer sides is 12 cm; find the distance between the shorter sides.

Mensuration

Related Questions

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