The figure, not drawn to scale, is made up of 3 different triangles L, M and N. 15% of triangle L and 20% of triangle N is shaded. The shaded area of L is the same as the shaded area of N. What fraction of the figure is shaded if 25% of Triangle M is shaded?
Unshaded area
of L |
Shaded area
of L |
Unshaded
area of N |
Shaded area
of N |
| 17x1 |
3x1 |
4x3 |
1x3 |
| 17 u |
3 u |
12 u |
3 u |
15% =
15100 =
320 20% =
20100 =
15 25% =
25100 =
14The shaded area of L is the same as the shaded area of N.
Make the LCM of the shaded area of L and shaded area of N the same.
LCM of 3 and 1 = 3
14 of M is shaded
= Shaded area of L + Shaded area of N
= 3 u + 3 u
= 6 u
Fraction of M that is unshaded
= 1 -
14 =
34 14 of M = 6 u
34 of M = 3 x 6 u = 18 u
Fraction of the figure that is shaded if 25% of Triangle M is shaded
=
6 + 617 + 18 + 12 + 6 + 6=
1259 Answer(s):
1259 
