Question

Find the area of quadrilateral ABCD in sq.units. Given AE = 10 units, BD =20 units and CF = 8 units

• A. 144 sq. units
• B. 180 sq. units
• C. 120 sq. units
• D. Data insuficient

Answer 1

The correct option is B

180 sq. units

Area of quadrilateral ABCD can be written as Ar$\Delta ABD$ + Ar $\Delta BCD$
Ar $\Delta ABD$ $=\frac{1}{2}\times base\times height=\frac{1}{2}\times 20\times 10)+Ar\Delta BCD$ $=\frac{1}{2}\times base\times height=\frac{1}{2}\times 20\times 8$
$\therefore$ Area of quadrilateral = $\frac{1}{2}\times 20\times 10+\frac{1}{2}\times 20\times 8$

$100+80=180$
$=180sq.units$