The figure is made up of three triangles, EFG, HJK and LMN not drawn to scale. The area of triangle LMN is seven times the area of triangle EFG. The area of triangle EFG is
14 of triangle HJK. The area of triangle EFG is 25 cm
2. What is the total area of the shaded parts?
EFG |
HJK |
LMN |
1 |
4 |
|
1 |
|
7 |
1 u |
4 u |
7 u |
Area of Triangle EFG = 1 u
1 u = 25
Area of the unshaded part
= Area of Triangle HJK - Area of Triangle EFG
= 4 u - 1 u
= 3 u
Area of the shaded part
= 7 u - 3 u
= 4 u
= 4 x 25
= 100 cm
2
Answer(s): 100 cm
2