The figure is made up of three triangles, EFG, HJK and LMN not drawn to scale. The area of triangle LMN is eight times the area of triangle EFG. The area of triangle EFG is
13 of triangle HJK. The area of triangle EFG is 19 cm
2. What is the total area of the shaded parts?
EFG |
HJK |
LMN |
1 |
3 |
|
1 |
|
8 |
1 u |
3 u |
8 u |
Area of Triangle EFG = 1 u
1 u = 19
Area of the unshaded part
= Area of Triangle HJK - Area of Triangle EFG
= 3 u - 1 u
= 2 u
Area of the shaded part
= 8 u - 2 u
= 6 u
= 6 x 19
= 114 cm
2
Answer(s): 114 cm
2