Question

find the area of the quadrilateral whose sides measure 9cm, 40cm, 28cm and 15cm and in which the angle between the first two sides is a right angle

Answer 1

are 9cm,40cm,28cm and 15cm respectively, in consecutive order ,and angle between first two sides is 90 degree.

Answer 2

In Quadrilateral ABCD
AB = 9CM
BC = 40CM
CD = 28CM
AD = 15CM


It has two triangle
Triangle ABC and Triangle ADC

In triangle ABC

Area of ABC = 1/2 × AB ×BC
= (1/2×9×40) CM²
= 180 CM²

In triangle ADC

Area of triangle ADC = 1/2×CD×AD
= (1/2×28×15) CM²
= 210 CM²


HENCE,

Area of Quadrilateral ABCD = 180 CM²+210CM²
= 390 CM²