Question

The diagonal of a quadrilateral is 22 cm in length and the perpendicular to diagonal from the opposite vertices are 5.5 cm and 11.5 cm . Find the area of quadrilateral.​

Answer 1

Answer:

187  cm^2

Step-by-step explanation:

here given is

1)length of a diagonal of quadrilateral=22cm

2)perpendicular distance from from diagonal to opposite vertices=5.5 cm and 11.5 cm

Solution: In any quadrilateral a diagonal the quadrilateral into two triangles,let say triangle 1 & triangle 2.

so here the area of quadrilateral=area of triangle1 +area of triangle2

• area of triangle1=a triangle having base 22 cm and perpendicular distance from vertices i.e 5.5 cm = 1/2*base*perpendicular distance from vertices to base=1/2*5.5*22=60.5 cm^2

• area of triangle2=a triangle having base 22 cm and perpendicular distance from vertices i.e 11.5 cm = 1/2*base*perpendicular distance from vertices to base=1/2*11.5*22=126.5cm^2

hence

the area of quadrilateral=area of triangle1 +area of triangle2

                                       =60.5+126.5

                                      =187cm^2