Question

In figure, ABCD is a rectangle with sides AB = 10 cm and AD = 5 cm. Find the area of ΔEFG.

Answer 1

From figure: 

Parallelogram ABEF and rectangle ABCD on the same base and between the same parallels, which means both have equal areas. 

Area of ABEF = Area of ABCD 

= 10 x 5 cm²

= 50 cm² 

Again, 

Parallelogram ABEF and triangle EFG are on the same base and between the same parallels, then 

Area of a triangle = 1/2(Area of parallelogram) 

In this case, 

Area of a triangle EFG = 1/2(Area of parallelogram ABEF) 

= 1/2(50 cm²) 

= 25 cm².