The figure is made up of three triangles, LMN, PQR and STU not drawn to scale. The area of triangle STU is eight times the area of triangle LMN. The area of triangle LMN is
14 of triangle PQR. The area of triangle LMN is 29 cm
2. What is the total area of the shaded parts?
LMN |
PQR |
STU |
1 |
4 |
|
1 |
|
8 |
1 u |
4 u |
8 u |
Area of Triangle LMN = 1 u
1 u = 29
Area of the unshaded part
= Area of Triangle PQR - Area of Triangle LMN
= 4 u - 1 u
= 3 u
Area of the shaded part
= 8 u - 3 u
= 5 u
= 5 x 29
= 145 cm
2
Answer(s): 145 cm
2