The figure is made up of three triangles, ABC, DEF and GHJ not drawn to scale. The area of triangle GHJ is seven times the area of triangle ABC. The area of triangle ABC is
13 of triangle DEF. The area of triangle ABC is 29 cm
2. What is the total area of the shaded parts?
ABC |
DEF |
GHJ |
1 |
3 |
|
1 |
|
7 |
1 u |
3 u |
7 u |
Area of Triangle ABC = 1 u
1 u = 29
Area of the unshaded part
= Area of Triangle DEF - Area of Triangle ABC
= 3 u - 1 u
= 2 u
Area of the shaded part
= 7 u - 2 u
= 5 u
= 5 x 29
= 145 cm
2
Answer(s): 145 cm
2