The figure, not drawn to scale, is made up of 3 different triangles N, P and Q. 15% of triangle N and 35% of triangle Q is shaded. The shaded area of N is the same as the shaded area of Q. What fraction of the figure is shaded if 25% of Triangle P is shaded?
Unshaded area of N |
Shaded area of N |
Unshaded area of Q |
Shaded area of Q |
17x7 |
3x7 |
13x3 |
7x3 |
119 u |
21 u |
39 u |
21 u |
15% =
15100 =
320 35% =
35100 =
720 25% =
25100 =
14The shaded area of N is the same as the shaded area of Q.
Make the LCM of the shaded area of N and shaded area of Q the same.
LCM of 3 and 7 = 21
14 of P is shaded
= Shaded area of N + Shaded area of Q
= 21 u + 21 u
= 42 u
Fraction of P that is unshaded
= 1 -
14 =
34 14 of P = 42 u
34 of P = 3 x 42 u = 126 u
Fraction of the figure that is shaded if 25% of Triangle P is shaded
=
42 + 42119 + 126 + 39 + 42 + 42 =
84368=
2192 Answer(s):
2192