Question

find area of following quardulaterals

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Answer 1

Answer:

The diagonal SQ divides the quadrilateral PQRS in two triangles-PQS and RQS.

So, Area of quadrilateral PQRS = Area of triangle PQS + Area of Triangle RQS.

We know that the area of any triangle = 1/2×base×height.

So area of triangle PQS = (1/2×7×4) cm^2

=14cm^2

Similarly area of ∆ RQS = (1/2×7×3) cm^2

=10.5 cm^2

So, area of quadrilateral PQRS = Area of ∆PQS + Area of ∆ RQS

= (14+10.5)cm^2

=24.5 cm^2