The figure, not drawn to scale, is made up of Rectangle D and Rectangle E overlapping each other. The area of Rectangle D is
12 the area of Rectangle E. Given that
17 of Rectangle D is shaded. What fraction of the total area of the figure is unshaded?
Rectangle D |
Rectangle E |
1x7 = 7 u |
2x7 = 14 u |
Shaded area |
Unshaded area |
Shaded area |
Unshaded area |
1x1 |
6x1 |
1x1 |
|
1 u |
6 u |
1 u |
13 u |
Rectangle D and Rectangle E share the same shaded area.
Rectangle D is the combined repeated identity. Make the area of Rectangle D the same. LCM of 1 and 7 is 7.
Total unshaded areas
= 6 u + 13 u
= 19 u
Total area of the figure
= 1 u + 6 u + 13 u
= 20 u
Fraction of the figure unshaded
=
1920 Answer(s):
1920