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