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
107 Likes

Question

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.

KnowledgeBoat · Accepted 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.

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

Related Questions

A square has the perimeter 56 m. Find its area and the length of one diagonal correct up to two decimal places.

ABCD is a parallelogram with sides AB = 12 cm, BC = 10 cm and diagonal AC = 16 cm. Find the area of the parallelogram. Also find the distance between its shorter sides.

Diagonals AC and BD of a parallelogram ABCD intersect at O. Given that AB = 12 cm and perpendicular distance between AB and DC is 6 cm. Calculate the area of the triangle AOD.