Adjacent Sides Of Parallelogram Are 15 Cm And 10 Cm

The adjacent sides of a parallelogram are 15 cm and 10 cm. If the distance between the longer … 6 cm, find the distance between the…

Answers:

In parallelogram ABCD

AB = DC = 15 cm

BC = AD = 10 cm

Distance between longer sides AB and DC is 6 cm

i.e., perpendicular DL = 6 cm

 DM ⊥ BC

 Area of parallelogram = Base x Altitude

 = AB x DL = 15 x 6 = 90 cm²

Again let DM = x cm

∴ Area of parallelogram ABCD = BC × DM

= 10 × x = 10x cm²

∴ 10x cm² = 90 cm²

=> x = 90/10 = 9 cm