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