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