Question

Find the area of quadrilateral ABCD in sq.units, given AE = 10 units, BD = 24 units and CF = 8 units.

• A. 234 square units
• B. 100 square units
• C. 216 square units
• D. 120 square units

Answer 1

The correct option is C

216 square units

Area of quadrilateral can be written as Ar($\Delta ABD$) + Ar($\Delta BCD$)

Ar $\left(\Delta ABD\right)$
$=\frac{1}{2}\times base\times height=\frac{1}{2}\times 24\times 10$

$Ar\left(\Delta BCD\right)$ $=\frac{1}{2}\times base\times height=\frac{1}{2}\times 24\times 8$

$\therefore$ Area of quadrilateral

= $\frac{1}{2}\times 24\times 10+\frac{1}{2}\times 24\times 8$

= $\frac{1}{2}\times 24(10+8)$

= $24\times 9$

= $216sq.units$