Question

PQRS is a parallelogram and PQT is a triangle with T falling on RS . If area of triangle PQT = 18cm, then find the area of parallelogram PQRS.

Answer 1

area of parallelogram pqrs=2area of triangle pqt
=2×18 cmsquare
= 36cm square( parallelogram pqrs and triangle pqt lie on same base pq and between parallel line pqllrs)

Answer 2

Answer:

Area of the parallelogram PQRS is 36 cm².

Step-by-step explanation:

Formula for the area of a parallelogram is

Area = Base × Distance between the parallel sides

In the figure attached,

Area of the parallelogram PQRS = PQ × TO

Since area of ΔPTQ = 18 cm²

Or Area of ΔPTQ =  $\frac{1}{2}\times \text{Base}\times \text{Height}$ = 18

$\frac{1}{2}\times PQ\times TO$ = 18

⇒ PQ × TO = 36

Since PQ × TO = area of the parallelogram PQRS

Therefore, area of the parallelogram PQRS is 36 square cm.

Learn more about the properties of parallelogram from https://brainly.in/question/7633251