The figure, not drawn to scale, is made up of Square X and Rectangles Y and Z. The area of Square X is
23 of the total area of Rectangles Y and Z.
13 of Square X is shaded.
14 of Rectangle Y is shaded.
15 of Rectangle Z is shaded. What fraction of the figure is unshaded?
| |
X |
Y |
Z |
Comparing X and the
total of Y and Z |
2x3 =
6 u |
3x3 =
9 u |
| Total |
3x2 =
6 u |
4x1 =
4 u |
5x1 =
5 u |
| Shaded |
1x2 =
2 u |
1x1 =
1 u |
1x1 =
1 u |
| Unshaded |
2x2 =
4 u |
3x1 =
3 u |
4x1 =
4 u |
The area of X is repeated. Make the area of X the same. LCM of 2 and 3 is 6.
When X is 6 u, the total areas of Y and Z is 9 u.
Then adjust the values of Y and Z so that the total areas of Y and Z is equal to 9 u.
Unshaded areasTotal area =
4 + 3 + 4 6 + 3 + 4 =
1113 Answer(s):
1113 
