In the given figure, ABCD is a quadrilateral in which cm, and such that cm and cm. find the area of quad. ABCD.

Question

Philoid · Accepted Answer

Given: A quadrilateral ABCD

and

AC = 24 cm

BL = 8 cm

DM = 7 cm

Here,

Area (quad. ABCD) = area (ABC) + area (ADC)

Area of triangle = × (base) × (height).

Therefore

Area of quad ABCD = × (AC) × (BL) + × (AC) × (DM)

= × (24) × (8) + × (24) × (7) = 96 + 84 = 180 cm²

Therefore area of the quadrilateral ABCD is 180 cm²