Question

Find the area of quadrilateral ABCD. Given AE = 5 units, BD = 16 units and CF = 4 units.

• A. 36 sq. units
• B. 72 sq. units
• C. 54 sq. units
• D. 144 sq. units

Answer 1

The correct option is B 72 sq. units

Area of quadrilateral can be written as
Ar $\Delta$DAB + Ar $\Delta$DCB

= $\frac{1}{2}$ $\times 16$$\times 5$ $+\frac{1}{2}$$\times 16$ $\times 4$
= $\frac{1}{2}\times 16\times (5+4)$
= $8\times (5+4)$
= 72 sq. units