The figure is made up of three triangles, HJK, LMN and PQR not drawn to scale. The area of triangle PQR is six times the area of triangle HJK. The area of triangle HJK is
13 of triangle LMN. The area of triangle HJK is 27 cm
2. What is the total area of the shaded parts?
HJK |
LMN |
PQR |
1 |
3 |
|
1 |
|
6 |
1 u |
3 u |
6 u |
Area of Triangle HJK = 1 u
1 u = 27
Area of the unshaded part
= Area of Triangle LMN - Area of Triangle HJK
= 3 u - 1 u
= 2 u
Area of the shaded part
= 6 u - 2 u
= 4 u
= 4 x 27
= 108 cm
2
Answer(s): 108 cm
2