The figure is made up of three triangles, DEF, GHJ and KLM not drawn to scale. The area of triangle KLM is seven times the area of triangle DEF. The area of triangle DEF is
15 of triangle GHJ. The area of triangle DEF is 15 cm
2. What is the total area of the shaded parts?
DEF |
GHJ |
KLM |
1 |
5 |
|
1 |
|
7 |
1 u |
5 u |
7 u |
Area of Triangle DEF = 1 u
1 u = 15
Area of the unshaded part
= Area of Triangle GHJ - Area of Triangle DEF
= 5 u - 1 u
= 4 u
Area of the shaded part
= 7 u - 4 u
= 3 u
= 3 x 15
= 45 cm
2
Answer(s): 45 cm
2