The figure, not drawn to scale, is made up of 3 different triangles X, Y and Z. 15% of triangle X and 35% 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 25% of Triangle Y is shaded?
Unshaded area of X |
Shaded area of X |
Unshaded area of Z |
Shaded area of Z |
17x7 |
3x7 |
13x3 |
7x3 |
119 u |
21 u |
39 u |
21 u |
15% =
15100 =
320 35% =
35100 =
720 25% =
25100 =
14The 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 3 and 7 = 21
14 of Y is shaded
= Shaded area of X + Shaded area of Z
= 21 u + 21 u
= 42 u
Fraction of Y that is unshaded
= 1 -
14 =
34 14 of Y = 42 u
34 of Y = 3 x 42 u = 126 u
Fraction of the figure that is shaded if 25% of Triangle Y is shaded
=
42 + 42119 + 126 + 39 + 42 + 42 =
84368=
2192 Answer(s):
2192