The figure, not drawn to scale, is made up of Square P and Rectangles Q and R. The area of Square P is
23 of the total area of Rectangles Q and R.
13 of Square P is shaded.
14 of Rectangle Q is shaded.
15 of Rectangle R is shaded. What fraction of the figure is unshaded?
| |
P |
Q |
R |
Comparing P and the
total of Q and R |
2x3 =
6 u |
3x3 =
9 u |
| Total |
3x2 =
6 u |
4x1 =
4 u |
5x1 =
5 u |
| Shaded |
1x2 =
2 u |
1x1 =
1 u |
1x1 =
1 u |
| Unshaded |
2x2 =
4 u |
3x1 =
3 u |
4x1 =
4 u |
The area of P is repeated. Make the area of P the same. LCM of 2 and 3 is 6.
When P is 6 u, the total areas of Q and R is 9 u.
Then adjust the values of Q and R so that the total areas of Q and R is equal to 9 u.
Unshaded areasTotal area =
4 + 3 + 4 6 + 3 + 4 =
1113 Answer(s):
1113 
