The figure, not drawn to scale, is made up of 3 different triangles G, H and J. 25% of triangle G and 35% of triangle J is shaded. The shaded area of G is the same as the shaded area of J. What fraction of the figure is shaded if 20% of Triangle H is shaded?
Unshaded area of G |
Shaded area of G |
Unshaded area of J |
Shaded area of J |
3x7 |
1x7 |
13x1 |
7x1 |
21 u |
7 u |
13 u |
7 u |
25% =
25100 =
14 35% =
35100 =
720 20% =
20100 =
15The shaded area of G is the same as the shaded area of J.
Make the LCM of the shaded area of G and shaded area of J the same.
LCM of 1 and 7 = 7
15 of H is shaded
= Shaded area of G + Shaded area of J
= 7 u + 7 u
= 14 u
Fraction of H that is unshaded
= 1 -
15 =
45 15 of H = 14 u
45 of H = 4 x 14 u = 56 u
Fraction of the figure that is shaded if 20% of Triangle H is shaded
=
14 + 1421 + 56 + 13 + 14 + 14 =
28118=
1459 Answer(s):
1459