Question

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

• A. 216

Answer 1

The correct option is A 216

Given: AE = 10 units, BD = 24 units and CF = 8 units.
$\text{Area of quadrilateral ABCD =}Ar\Delta ABD+Ar\Delta BCD.$

$Ar\Delta ABD=\frac{1}{2}\times base\times height=\frac{1}{2}\times BD\times AE=\frac{1}{2}\times 24\times 10Ar\Delta BCD=\frac{1}{2}\times base\times height=\frac{1}{2}\times BD\times CF=\frac{1}{2}\times 24\times 8$

$\therefore \text{Area of quadrilateral}=(\frac{1}{2}\times 24\times 10)+(\frac{1}{2}\times 24\times 8)=96+120=216$

$\text{Area of quadrilateral= 216 sq units}$