Question

find the area of the quadilateral PQRS ​

Answer 1

Step-by-step explanation:

Area of quadrilateral PQRS is equal to the sum of the area of triangle PSR and the area of triangle PQR.

Area of triangle PSR = (base * height)/2 = (PR * h1)/2

Area of triangle PQR = (base * height)/2 = (PR* h2)/2

Thus, area of quadrilateral PQRS is,

Area of triangle PSR + Area of triangle PQR =PR×h12+PR×h22=PR(h1+h22)

=12PR×(h1+h2)

Hence, the area of a quadrilateral formula is,

Area of a general Quadrilateral =12×diagonal×(Sumofheightoftwotriangle)