The figure, not drawn to scale, is made up of Rectangle G and Rectangle H overlapping each other. The area of Rectangle G is
34 the area of Rectangle H. Given that
16 of Rectangle G is shaded. What fraction of the total area of the figure is unshaded?
Rectangle G |
Rectangle H |
3x2 = 6 u |
4x2 = 8 u |
Shaded area |
Unshaded area |
Shaded area |
Unshaded area |
1x1 |
5x1 |
1x1 |
|
1 u |
5 u |
1 u |
7 u |
Rectangle G and Rectangle H share the same shaded area.
Rectangle G is the combined repeated identity. Make the area of Rectangle G the same. LCM of 3 and 6 is 6.
Total unshaded areas
= 5 u + 7 u
= 12 u
Total area of the figure
= 1 u + 5 u + 7 u
= 13 u
Fraction of the figure unshaded
=
1213 Answer(s):
1213