The figure, not drawn to scale, is made up of Rectangle B and Rectangle C overlapping each other. The area of Rectangle B is
15 the area of Rectangle C. Given that
13 of Rectangle B is shaded. What fraction of the total area of the figure is unshaded?
Rectangle B |
Rectangle C |
1x3 = 3 u |
5x3 = 15 u |
Shaded area |
Unshaded area |
Shaded area |
Unshaded area |
1x1 |
2x1 |
1x1 |
|
1 u |
2 u |
1 u |
14 u |
Rectangle B and Rectangle C share the same shaded area.
Rectangle B is the combined repeated identity. Make the area of Rectangle B the same. LCM of 1 and 3 is 3.
Total unshaded areas
= 2 u + 14 u
= 16 u
Total area of the figure
= 1 u + 2 u + 14 u
= 17 u
Fraction of the figure unshaded
=
1617 Answer(s):
1617