The figure is made up of three triangles, QRS, TUV and WXY not drawn to scale. The area of triangle WXY is eight times the area of triangle QRS. The area of triangle QRS is
15 of triangle TUV. The area of triangle QRS is 23 cm
2. What is the total area of the shaded parts?
QRS |
TUV |
WXY |
1 |
5 |
|
1 |
|
8 |
1 u |
5 u |
8 u |
Area of Triangle QRS = 1 u
1 u = 23
Area of the unshaded part
= Area of Triangle TUV - Area of Triangle QRS
= 5 u - 1 u
= 4 u
Area of the shaded part
= 8 u - 4 u
= 4 u
= 4 x 23
= 92 cm
2
Answer(s): 92 cm
2