The figure is made up of three triangles, GHJ, KLM and NPQ not drawn to scale. The area of triangle NPQ is six times the area of triangle GHJ. The area of triangle GHJ is
14 of triangle KLM. The area of triangle GHJ is 18 cm
2. What is the total area of the shaded parts?
GHJ |
KLM |
NPQ |
1 |
4 |
|
1 |
|
6 |
1 u |
4 u |
6 u |
Area of Triangle GHJ = 1 u
1 u = 18
Area of the unshaded part
= Area of Triangle KLM - Area of Triangle GHJ
= 4 u - 1 u
= 3 u
Area of the shaded part
= 6 u - 3 u
= 3 u
= 3 x 18
= 54 cm
2
Answer(s): 54 cm
2