Question

In the given figure, PQRS is a parallelogram and PQ = 8 cm. If area of triangle PXQ is 32 sq cm, find the altitude of the parallelogram.

• A. 10 cm
• B. 4 cm
• C. 8 cm
• D. 12 cm

Answer 1

The correct option is C 8 cm

Area of a triangle on the same base in between the same parallel lines $=\frac{1}{2}\times$ Area of the parallelogram PQRS
$32=\frac{1}{2}\times PQ\times h$
$32\times 2=PQ\times h$
$64=8\times h$ ...(Given)
$\frac{64}{8}=h$
$8=h$
$h=8$ cm (Answer)