The figure, not drawn to scale, is made up of 3 different triangles R, S and T. 20% of triangle R and 30% 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 |
| 4x3 |
1x3 |
7x1 |
3x1 |
| 12 u |
3 u |
7 u |
3 u |
20% =
20100 =
15 30% =
30100 =
310 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 3 = 3
14 of S is shaded
= Shaded area of R + Shaded area of T
= 3 u + 3 u
= 6 u
Fraction of S that is unshaded
= 1 -
14 =
34 14 of S = 6 u
34 of S = 3 x 6 u = 18 u
Fraction of the figure that is shaded if 25% of Triangle S is shaded
=
6 + 612 + 18 + 7 + 6 + 6=
1249 Answer(s):
1249 
