PQRS is a trapezium having PS and QR as parallel sides. A is any point on PQ and B is a point on SR such that AB||QR. If area of ΔPBQ is 17 cm 2 , find the area of ΔASR.

Question

PQRS is a trapezium having PS and QR as parallel sides. A is any point on PQ and B is a point on SR such that AB||QR. If area of &#x394;PBQ is 17 cm 2 , find the area of &#x394;ASR.

Philoid · Accepted Answer

Given that,

Area ( = 17 cm²

PQRS is a trapezium

PS ‖ QR

A and B are points on PQ and RS respectively

AB ‖ QR

We know that,

If a triangle and a parallelogram are on the same base and between the same parallels, the area of triangle is equal to half area of parallelogram

Here,

Area ( = Area ( (i)

Area ( = Area ( (ii)

We have to find Area (,

Area ( = Area ( + Area (

= Area ( + Area (

= Area (

= 17 cm²

Hence,

Area ( is 17 cm².

PQRS is a trapezium having PS and QR as parallel sides. A is any point on PQ and B is a point on SR such that AB||QR. If area of ΔPBQ is 17 cm2, find the area of ΔASR.

PQRS is a trapezium having PS and QR as parallel sides. A is any point on PQ and B is a point on SR such that AB||QR. If area of ΔPBQ is 17 cm², find the area of ΔASR.