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