The figure, not drawn to scale, is made up of Square Q and Rectangles R and S. The area of Square Q is
811 of the total area of Rectangles R and S.
14 of Square Q is shaded.
15 of Rectangle R is shaded.
16 of Rectangle S is shaded. What fraction of the figure is shaded?
| |
Q |
R |
S |
Comparing Q and the
total of R and S |
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 Q is repeated. Make the area of Q the same. LCM of 8 and 4 is 8.
When Q is 8 u, the total areas of R and S is 11 u.
Then adjust the values of R and S so that the total areas of R and S is equal to 11 u.
Shaded areasTotal area =
2 8 + 4 + 5 =
217 Answer(s):
217 
