The figure is made up of three triangles, HJK, LMN and PQR not drawn to scale. The area of triangle PQR is seven times the area of triangle HJK. The area of triangle HJK is
14 of triangle LMN. The area of triangle HJK is 20 cm
2. What is the total area of the shaded parts?
HJK |
LMN |
PQR |
1 |
4 |
|
1 |
|
7 |
1 u |
4 u |
7 u |
Area of Triangle HJK = 1 u
1 u = 20
Area of the unshaded part
= Area of Triangle LMN - Area of Triangle HJK
= 4 u - 1 u
= 3 u
Area of the shaded part
= 7 u - 3 u
= 4 u
= 4 x 20
= 80 cm
2
Answer(s): 80 cm
2