The figure is made up of three triangles, KLM, NPQ and RST not drawn to scale. The area of triangle RST is seven times the area of triangle KLM. The area of triangle KLM is
14 of triangle NPQ. The area of triangle KLM is 27 cm
2. What is the total area of the shaded parts?
KLM |
NPQ |
RST |
1 |
4 |
|
1 |
|
7 |
1 u |
4 u |
7 u |
Area of Triangle KLM = 1 u
1 u = 27
Area of the unshaded part
= Area of Triangle NPQ - Area of Triangle KLM
= 4 u - 1 u
= 3 u
Area of the shaded part
= 7 u - 3 u
= 4 u
= 4 x 27
= 108 cm
2
Answer(s): 108 cm
2