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