The figure, not drawn to scale, is made up of 3 different triangles N, P and Q. 20% 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 |
4x7 |
1x7 |
13x1 |
7x1 |
28 u |
7 u |
13 u |
7 u |
20% =
20100 =
15 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 1 and 7 = 7
14 of P is shaded
= Shaded area of N + Shaded area of Q
= 7 u + 7 u
= 14 u
Fraction of P that is unshaded
= 1 -
14 =
34 14 of P = 14 u
34 of P = 3 x 14 u = 42 u
Fraction of the figure that is shaded if 25% of Triangle P is shaded
=
14 + 1428 + 42 + 13 + 14 + 14=
28111 Answer(s):
28111