The figure, not drawn to scale, is made up of 3 different triangles E, F and G. 15% 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 20% of Triangle F is shaded?
Unshaded area of E |
Shaded area of E |
Unshaded area of G |
Shaded area of G |
17x7 |
3x7 |
13x3 |
7x3 |
119 u |
21 u |
39 u |
21 u |
15% =
15100 =
320 35% =
35100 =
720 20% =
20100 =
15The 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 7 = 21
15 of F is shaded
= Shaded area of E + Shaded area of G
= 21 u + 21 u
= 42 u
Fraction of F that is unshaded
= 1 -
15 =
45 15 of F = 42 u
45 of F = 4 x 42 u = 168 u
Fraction of the figure that is shaded if 20% of Triangle F is shaded
=
42 + 42119 + 168 + 39 + 42 + 42 =
84410=
42205 Answer(s):
42205