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