The figure is made up of three triangles, QRS, TUV and WXY not drawn to scale. The area of triangle WXY is six times the area of triangle QRS. The area of triangle QRS is
13 of triangle TUV. The area of triangle QRS is 18 cm
2. What is the total area of the shaded parts?
QRS |
TUV |
WXY |
1 |
3 |
|
1 |
|
6 |
1 u |
3 u |
6 u |
Area of Triangle QRS = 1 u
1 u = 18
Area of the unshaded part
= Area of Triangle TUV - Area of Triangle QRS
= 3 u - 1 u
= 2 u
Area of the shaded part
= 6 u - 2 u
= 4 u
= 4 x 18
= 72 cm
2
Answer(s): 72 cm
2