Question

In parallelogram PQRS,PQ =8 cm and PS =3 cm . If ar(parallelogram PQRS) =48 cm sqaure. Find SMand QT

Answer 1

Since parallelogram P

△PXQ are on the same base PQ and lie between the same parallels PQ || SR

∴ Altitude of the △PXQ and ||gm PQRS is same .

Now, 1/2 PQ × altitude = ar(△PXQ)

⇒ 1/2 × 8 × altitude = 32

altitude = 8 cm

ar(||gm PQRS) = 2 ar(△PXQ)

= 2 × 32

= 64 cm2

Hence, the altitude of parallelogram PQRS is 8 cm and its area is 64 cm2.