The figure, not drawn to scale, is made up of 3 different triangles U, V and W. 20% of triangle U and 30% of triangle W is shaded. The shaded area of U is the same as the shaded area of W. What fraction of the figure is shaded if 25% of Triangle V is shaded?
Unshaded area
of U |
Shaded area
of U |
Unshaded
area of W |
Shaded area
of W |
| 4x3 |
1x3 |
7x1 |
3x1 |
| 12 u |
3 u |
7 u |
3 u |
20% =
20100 =
15 30% =
30100 =
310 25% =
25100 =
14The shaded area of U is the same as the shaded area of W.
Make the LCM of the shaded area of U and shaded area of W the same.
LCM of 1 and 3 = 3
14 of V is shaded
= Shaded area of U + Shaded area of W
= 3 u + 3 u
= 6 u
Fraction of V that is unshaded
= 1 -
14 =
34 14 of V = 6 u
34 of V = 3 x 6 u = 18 u
Fraction of the figure that is shaded if 25% of Triangle V is shaded
=
6 + 612 + 18 + 7 + 6 + 6=
1249 Answer(s):
1249 
