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