The figure is made up of three triangles, GHJ, KLM and NPQ not drawn to scale. The area of triangle NPQ is seven times the area of triangle GHJ. The area of triangle GHJ is
13 of triangle KLM. The area of triangle GHJ is 29 cm
2. What is the total area of the shaded parts?
GHJ |
KLM |
NPQ |
1 |
3 |
|
1 |
|
7 |
1 u |
3 u |
7 u |
Area of Triangle GHJ = 1 u
1 u = 29
Area of the unshaded part
= Area of Triangle KLM - Area of Triangle GHJ
= 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