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 20% 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 20% =
20100 =
15The 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
15 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 -
15 =
45 15 of P = 42 u
45 of P = 4 x 42 u = 168 u
Fraction of the figure that is shaded if 20% of Triangle P is shaded
=
42 + 42119 + 168 + 39 + 42 + 42 =
84410=
42205 Answer(s):
42205