The figure is made up of three triangles, NPQ, RST and UVW not drawn to scale. The area of triangle UVW is eight times the area of triangle NPQ. The area of triangle NPQ is
14 of triangle RST. The area of triangle NPQ is 23 cm
2. What is the total area of the shaded parts?
NPQ |
RST |
UVW |
1 |
4 |
|
1 |
|
8 |
1 u |
4 u |
8 u |
Area of Triangle NPQ = 1 u
1 u = 23
Area of the unshaded part
= Area of Triangle RST - Area of Triangle NPQ
= 4 u - 1 u
= 3 u
Area of the shaded part
= 8 u - 3 u
= 5 u
= 5 x 23
= 115 cm
2
Answer(s): 115 cm
2