The figure is made up of three triangles, PQR, STU and VWX not drawn to scale. The area of triangle VWX is eight times the area of triangle PQR. The area of triangle PQR is
13 of triangle STU. The area of triangle PQR is 29 cm
2. What is the total area of the shaded parts?
PQR |
STU |
VWX |
1 |
3 |
|
1 |
|
8 |
1 u |
3 u |
8 u |
Area of Triangle PQR = 1 u
1 u = 29
Area of the unshaded part
= Area of Triangle STU - Area of Triangle PQR
= 3 u - 1 u
= 2 u
Area of the shaded part
= 8 u - 2 u
= 6 u
= 6 x 29
= 174 cm
2
Answer(s): 174 cm
2