The figure is made up of three triangles, ABC, DEF and GHJ not drawn to scale. The area of triangle GHJ is eight times the area of triangle ABC. The area of triangle ABC is
14 of triangle DEF. The area of triangle ABC is 23 cm
2. What is the total area of the shaded parts?
ABC |
DEF |
GHJ |
1 |
4 |
|
1 |
|
8 |
1 u |
4 u |
8 u |
Area of Triangle ABC = 1 u
1 u = 23
Area of the unshaded part
= Area of Triangle DEF - Area of Triangle ABC
= 4 u - 1 u
= 3 u
Area of the shaded part
= 8 u - 3 u
= 5 u
= 5 x 23
= 115 cm
2
Answer(s): 115 cm
2