The figure, not drawn to scale, is made up of Square W and Rectangles X and Y. The area of Square W is
811 of the total area of Rectangles X and Y.
14 of Square W is shaded.
15 of Rectangle X is shaded.
16 of Rectangle Y is shaded. What fraction of the figure is unshaded?
|
W |
X |
Y |
Comparing W and the total of X and Y |
8x1 = 8 u |
11x1 = 11 u |
Total |
4x2 = 8 u |
5x1 = 5 u |
6x1 = 6 u |
Shaded |
1x2 = 2 u |
1x1 = 1 u |
1x1 = 1 u |
Unshaded |
3x2 = 6 u |
4x1 = 4 u |
5x1 = 5 u |
The area of W is repeated. Make the area of W the same. LCM of 8 and 4 is 8.
When W is 8 u, the total areas of X and Y is 11 u.
Then adjust the values of X and Y so that the total areas of X and Y is equal to 11 u.
Unshaded areasTotal area =
6 + 4 + 5 8 + 4 + 5 =
1517 Answer(s):
1517