`P Q R S` is a trapezium having `PS` a n d `Q R` as parallel sides. `A` is any point on `P Q and B` is a point on `S R` such that `A B Q R` . If area of ` P B Q` is `17c m^2,` find the area of ` A S R`

Explanation

As 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.

Area (`triangleABP`) = Area (`triangleASB`) ______1

Area (`triangleARQ`) = Area (`triangleARB`) ____2

Now, Area(`triangleASR`)=area(`triangleASB`)+area(`triangleARB`)

area(`triangleABP`)=area(`triangleARQ`)

area(`trianglePBQ`)

=`17cm^2`

Hence, area of (`triangleASR`) is `17cm^2`.