The figure, not drawn to scale, is made up of Rectangle W and Rectangle X overlapping each other. The area of Rectangle W is
18 the area of Rectangle X. Given that
13 of Rectangle W is shaded. What fraction of the total area of the figure is unshaded?
Rectangle W |
Rectangle X |
1x3 = 3 u |
8x3 = 24 u |
Shaded area |
Unshaded area |
Shaded area |
Unshaded area |
1x1 |
2x1 |
1x1 |
|
1 u |
2 u |
1 u |
23 u |
Rectangle W and Rectangle X share the same shaded area.
Rectangle W is the combined repeated identity. Make the area of Rectangle W the same. LCM of 1 and 3 is 3.
Total unshaded areas
= 2 u + 23 u
= 25 u
Total area of the figure
= 1 u + 2 u + 23 u
= 26 u
Fraction of the figure unshaded
=
2526 Answer(s):
2526