Question

ABCD is a rectangle and EGF is a right angled triangle with angle EGF = 90 degrees. Find the area of trapezium AFED.

• A. $120c{m}^2$
• B. $140c{m}^2$
• C. $100c{m}^2$
• D. $180c{m}^2$

Answer 1

The correct option is A $120c{m}^2$

$\text{Area of trapezium AFED}$
$=\text{Area of rectangle AGED}-\text{Area of triangle EGF}$

$\text{Area of rectangle}$ = l x b
$=14\times 10=140c{m}^2$

Area of triangle = $\frac{1}{2}\times b\times h=\frac{1}{2}\times 4\times 10=20c{m}^2$

$\therefore Areaoftrapezium=140-20=120c{m}^2$