The figure, not drawn to scale, is made up of 3 different triangles P, Q and R. 15% of triangle P and 25% of triangle R is shaded. The shaded area of P is the same as the shaded area of R. What fraction of the figure is shaded if 20% of Triangle Q is shaded?
Unshaded area of P |
Shaded area of P |
Unshaded area of R |
Shaded area of R |
17x1 |
3x1 |
3x3 |
1x3 |
17 u |
3 u |
9 u |
3 u |
15% =
15100 =
320 25% =
25100 =
14 20% =
20100 =
15The shaded area of P is the same as the shaded area of R.
Make the LCM of the shaded area of P and shaded area of R the same.
LCM of 3 and 1 = 3
15 of Q is shaded
= Shaded area of P + Shaded area of R
= 3 u + 3 u
= 6 u
Fraction of Q that is unshaded
= 1 -
15 =
45 15 of Q = 6 u
45 of Q = 4 x 6 u = 24 u
Fraction of the figure that is shaded if 20% of Triangle Q is shaded
=
6 + 617 + 24 + 9 + 6 + 6 =
1262=
631 Answer(s):
631