The figure, not drawn to scale, is made up of 3 different triangles P, Q and R. 25% of triangle P and 35% 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 |
3x7 |
1x7 |
13x1 |
7x1 |
21 u |
7 u |
13 u |
7 u |
25% =
25100 =
14 35% =
35100 =
720 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 1 and 7 = 7
15 of Q is shaded
= Shaded area of P + Shaded area of R
= 7 u + 7 u
= 14 u
Fraction of Q that is unshaded
= 1 -
15 =
45 15 of Q = 14 u
45 of Q = 4 x 14 u = 56 u
Fraction of the figure that is shaded if 20% of Triangle Q is shaded
=
14 + 1421 + 56 + 13 + 14 + 14 =
28118=
1459 Answer(s):
1459