Question

16) The area of the quadrilateral whose sides measure 9
cm, 40 cm, 28 cm, and 15 cm, and in which the angle
between the first two sides is a right angle is
A) 206 square cm B) 306 square cm
C) 356 square cm
D) 380 square cm​

Answer 1

Answer:

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