In the given figure, ABCD is a quadrilateral-shaped field in which diagonal BD is 36 m, and such that m and m. Find the area of the field.

Question

Philoid · Accepted Answer

Given: A quadrilateral ABCD

and

AL = 19 cm

BD = 36 cm

CM = 11 cm

Here,

Area (quad. ABCD) = area (ABD) + area (ACD)

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

Therefore

Area of quad ABCD = × (BD) × (AL) + × (BD) × (CM)

= × (36) × (19) + × (36) × (11) = 342 + 198 = 540 cm²

Therefore area of the quadrilateral ABCD is 540 cm².