The figure is made up of three triangles, KLM, NPQ and RST not drawn to scale. The area of triangle RST is eight times the area of triangle KLM. The area of triangle KLM is
15 of triangle NPQ. The area of triangle KLM is 30 cm
2. What is the total area of the shaded parts?
KLM |
NPQ |
RST |
1 |
5 |
|
1 |
|
8 |
1 u |
5 u |
8 u |
Area of Triangle KLM = 1 u
1 u = 30
Area of the unshaded part
= Area of Triangle NPQ - Area of Triangle KLM
= 5 u - 1 u
= 4 u
Area of the shaded part
= 8 u - 4 u
= 4 u
= 4 x 30
= 120 cm
2
Answer(s): 120 cm
2