The figure, not drawn to scale, is made up of 3 different triangles A, B and C. 20% of triangle A and 30% of triangle C is shaded. The shaded area of A is the same as the shaded area of C. What fraction of the figure is shaded if 25% of Triangle B is shaded?
Unshaded area of A |
Shaded area of A |
Unshaded area of C |
Shaded area of C |
4x3 |
1x3 |
7x1 |
3x1 |
12 u |
3 u |
7 u |
3 u |
20% =
20100 =
15 30% =
30100 =
310 25% =
25100 =
14The shaded area of A is the same as the shaded area of C.
Make the LCM of the shaded area of A and shaded area of C the same.
LCM of 1 and 3 = 3
14 of B is shaded
= Shaded area of A + Shaded area of C
= 3 u + 3 u
= 6 u
Fraction of B that is unshaded
= 1 -
14 =
34 14 of B = 6 u
34 of B = 3 x 6 u = 18 u
Fraction of the figure that is shaded if 25% of Triangle B is shaded
=
6 + 612 + 18 + 7 + 6 + 6=
1249 Answer(s):
1249