The figure, not drawn to scale, is made up of Square N and Rectangles P and Q. The area of Square N is
89 of the total area of Rectangles P and Q.
14 of Square N is shaded.
14 of Rectangle P is shaded.
15 of Rectangle Q is shaded. What fraction of the figure is unshaded?
| |
N |
P |
Q |
Comparing N and the
total of P and Q |
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 N is repeated. Make the area of N the same. LCM of 8 and 4 is 8.
When N is 8 u, the total areas of P and Q is 9 u.
Then adjust the values of P and Q so that the total areas of P and Q is equal to 9 u.
Unshaded areasTotal area =
6 + 3 + 4 8 + 3 + 4 =
1315 Answer(s):
1315 
