The figure, not drawn to scale, is made up of 3 different triangles V, W and X. 15% of triangle V and 35% of triangle X is shaded. The shaded area of V is the same as the shaded area of X. What fraction of the figure is shaded if 20% of Triangle W is shaded?
Unshaded area of V |
Shaded area of V |
Unshaded area of X |
Shaded area of X |
17x7 |
3x7 |
13x3 |
7x3 |
119 u |
21 u |
39 u |
21 u |
15% =
15100 =
320 35% =
35100 =
720 20% =
20100 =
15The shaded area of V is the same as the shaded area of X.
Make the LCM of the shaded area of V and shaded area of X the same.
LCM of 3 and 7 = 21
15 of W is shaded
= Shaded area of V + Shaded area of X
= 21 u + 21 u
= 42 u
Fraction of W that is unshaded
= 1 -
15 =
45 15 of W = 42 u
45 of W = 4 x 42 u = 168 u
Fraction of the figure that is shaded if 20% of Triangle W is shaded
=
42 + 42119 + 168 + 39 + 42 + 42 =
84410=
42205 Answer(s):
42205