The figure, not drawn to scale, is made up of 3 different triangles E, F and G. 20% of triangle E and 35% 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 |
4x7 |
1x7 |
13x1 |
7x1 |
28 u |
7 u |
13 u |
7 u |
20% =
20100 =
15 35% =
35100 =
720 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 1 and 7 = 7
14 of F is shaded
= Shaded area of E + Shaded area of G
= 7 u + 7 u
= 14 u
Fraction of F that is unshaded
= 1 -
14 =
34 14 of F = 14 u
34 of F = 3 x 14 u = 42 u
Fraction of the figure that is shaded if 25% of Triangle F is shaded
=
14 + 1428 + 42 + 13 + 14 + 14=
28111 Answer(s):
28111