The figure is made up of three triangles, FGH, JKL and MNP not drawn to scale. The area of triangle MNP is seven times the area of triangle FGH. The area of triangle FGH is
14 of triangle JKL. The area of triangle FGH is 27 cm
2. What is the total area of the shaded parts?
FGH |
JKL |
MNP |
1 |
4 |
|
1 |
|
7 |
1 u |
4 u |
7 u |
Area of Triangle FGH = 1 u
1 u = 27
Area of the unshaded part
= Area of Triangle JKL - Area of Triangle FGH
= 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