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