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