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