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
12 of Rectangle B is shaded. What fraction of the total area of the figure is unshaded?
Rectangle B |
Rectangle C |
1x2 = 2 u |
5x2 = 10 u |
Shaded area |
Unshaded area |
Shaded area |
Unshaded area |
1x1 |
1x1 |
1x1 |
|
1 u |
1 u |
1 u |
9 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 2 is 2.
Total unshaded areas
= 1 u + 9 u
= 10 u
Total area of the figure
= 1 u + 1 u + 9 u
= 11 u
Fraction of the figure unshaded
=
1011 Answer(s):
1011