The figure, not drawn to scale, is made up of 3 different triangles R, S and T. 20% of triangle R and 35% of triangle T is shaded. The shaded area of R is the same as the shaded area of T. What fraction of the figure is shaded if 25% of Triangle S is shaded?
Unshaded area of R |
Shaded area of R |
Unshaded area of T |
Shaded area of T |
4x7 |
1x7 |
13x1 |
7x1 |
28 u |
7 u |
13 u |
7 u |
20% =
20100 =
15 35% =
35100 =
720 25% =
25100 =
14The shaded area of R is the same as the shaded area of T.
Make the LCM of the shaded area of R and shaded area of T the same.
LCM of 1 and 7 = 7
14 of S is shaded
= Shaded area of R + Shaded area of T
= 7 u + 7 u
= 14 u
Fraction of S that is unshaded
= 1 -
14 =
34 14 of S = 14 u
34 of S = 3 x 14 u = 42 u
Fraction of the figure that is shaded if 25% of Triangle S is shaded
=
14 + 1428 + 42 + 13 + 14 + 14=
28111 Answer(s):
28111