The figure, not drawn to scale, is made up of 3 different triangles X, Y and Z. 25% of triangle X and 30% of triangle Z is shaded. The shaded area of X is the same as the shaded area of Z. What fraction of the figure is shaded if 20% of Triangle Y is shaded?
Unshaded area of X |
Shaded area of X |
Unshaded area of Z |
Shaded area of Z |
3x3 |
1x3 |
7x1 |
3x1 |
9 u |
3 u |
7 u |
3 u |
25% =
25100 =
14 30% =
30100 =
310 20% =
20100 =
15The shaded area of X is the same as the shaded area of Z.
Make the LCM of the shaded area of X and shaded area of Z the same.
LCM of 1 and 3 = 3
15 of Y is shaded
= Shaded area of X + Shaded area of Z
= 3 u + 3 u
= 6 u
Fraction of Y that is unshaded
= 1 -
15 =
45 15 of Y = 6 u
45 of Y = 4 x 6 u = 24 u
Fraction of the figure that is shaded if 20% of Triangle Y is shaded
=
6 + 69 + 24 + 7 + 6 + 6 =
1252=
313 Answer(s):
313