The figure, not drawn to scale, is made up of Square R and Rectangles S and T. The area of Square R is
89 of the total area of Rectangles S and T.
14 of Square R is shaded.
14 of Rectangle S is shaded.
15 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 |
9x1 = 9 u |
Total |
4x2 = 8 u |
4x1 = 4 u |
5x1 = 5 u |
Shaded |
1x2 = 2 u |
1x1 = 1 u |
1x1 = 1 u |
Unshaded |
3x2 = 6 u |
3x1 = 3 u |
4x1 = 4 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 9 u.
Then adjust the values of S and T so that the total areas of S and T is equal to 9 u.
Unshaded areasTotal area =
6 + 3 + 4 8 + 3 + 4 =
1315 Answer(s):
1315