The figure is made up of three triangles, RST, UVW and XYZ not drawn to scale. The area of triangle XYZ is five times the area of triangle RST. The area of triangle RST is
13 of triangle UVW. The area of triangle RST is 10 cm
2. What is the total area of the shaded parts?
RST |
UVW |
XYZ |
1 |
3 |
|
1 |
|
5 |
1 u |
3 u |
5 u |
Area of Triangle RST = 1 u
1 u = 10
Area of the unshaded part
= Area of Triangle UVW - Area of Triangle RST
= 3 u - 1 u
= 2 u
Area of the shaded part
= 5 u - 2 u
= 3 u
= 3 x 10
= 30 cm
2
Answer(s): 30 cm
2