The figure, not drawn to scale, is made up of Square W and Rectangles X and Y. The area of Square W is
23 of the total area of Rectangles X and Y.
13 of Square W is shaded.
14 of Rectangle X is shaded.
15 of Rectangle Y is shaded. What fraction of the figure is shaded?
| |
W |
X |
Y |
Comparing W and the
total of X and Y |
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 W is repeated. Make the area of W the same. LCM of 2 and 3 is 6.
When W is 6 u, the total areas of X and Y is 9 u.
Then adjust the values of X and Y so that the total areas of X and Y is equal to 9 u.
Shaded areasTotal area =
2 6 + 3 + 4 =
213 Answer(s):
213 
