The figure, not drawn to scale, is made up of 3 different triangles T, U and V. 25% of triangle T and 30% 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 20% of Triangle U is shaded?
Unshaded area of T |
Shaded area of T |
Unshaded area of V |
Shaded area of V |
3x3 |
1x3 |
7x1 |
3x1 |
9 u |
3 u |
7 u |
3 u |
25% =
25100 =
14 30% =
30100 =
310 20% =
20100 =
15The 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 1 and 3 = 3
15 of U is shaded
= Shaded area of T + Shaded area of V
= 3 u + 3 u
= 6 u
Fraction of U that is unshaded
= 1 -
15 =
45 15 of U = 6 u
45 of U = 4 x 6 u = 24 u
Fraction of the figure that is shaded if 20% of Triangle U is shaded
=
6 + 69 + 24 + 7 + 6 + 6 =
1252=
313 Answer(s):
313