The figure is made up of three triangles, FGH, JKL and MNP not drawn to scale. The area of triangle MNP is five times the area of triangle FGH. The area of triangle FGH is
13 of triangle JKL. The area of triangle FGH is 30 cm
2. What is the total area of the shaded parts?
FGH |
JKL |
MNP |
1 |
3 |
|
1 |
|
5 |
1 u |
3 u |
5 u |
Area of Triangle FGH = 1 u
1 u = 30
Area of the unshaded part
= Area of Triangle JKL - Area of Triangle FGH
= 3 u - 1 u
= 2 u
Area of the shaded part
= 5 u - 2 u
= 3 u
= 3 x 30
= 90 cm
2
Answer(s): 90 cm
2