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