The figure is made up of three triangles, MNP, QRS and TUV not drawn to scale. The area of triangle TUV is seven times the area of triangle MNP. The area of triangle MNP is
14 of triangle QRS. The area of triangle MNP is 14 cm
2. What is the total area of the shaded parts?
MNP |
QRS |
TUV |
1 |
4 |
|
1 |
|
7 |
1 u |
4 u |
7 u |
Area of Triangle MNP = 1 u
1 u = 14
Area of the unshaded part
= Area of Triangle QRS - Area of Triangle MNP
= 4 u - 1 u
= 3 u
Area of the shaded part
= 7 u - 3 u
= 4 u
= 4 x 14
= 56 cm
2
Answer(s): 56 cm
2