The figure, not drawn to scale, is made up of Rectangle A and Rectangle B overlapping each other. The area of Rectangle A is
35 the area of Rectangle B. Given that
12 of Rectangle A is shaded. What fraction of the total area of the figure is unshaded?
Rectangle A |
Rectangle B |
3x2 = 6 u |
5x2 = 10 u |
Shaded area |
Unshaded area |
Shaded area |
Unshaded area |
1x3 |
1x3 |
1x3 |
|
3 u |
3 u |
3 u |
7 u |
Rectangle A and Rectangle B share the same shaded area.
Rectangle A is the combined repeated identity. Make the area of Rectangle A the same. LCM of 3 and 2 is 6.
Total unshaded areas
= 3 u + 7 u
= 10 u
Total area of the figure
= 3 u + 3 u + 7 u
= 13 u
Fraction of the figure unshaded
=
1013 Answer(s):
1013