The figure, not drawn to scale, is made up of Square P and Rectangles Q and R. The area of Square P is
89 of the total area of Rectangles Q and R.
14 of Square P is shaded.
14 of Rectangle Q is shaded.
15 of Rectangle R is shaded. What fraction of the figure is shaded?
| |
P |
Q |
R |
Comparing P and the
total of Q and R |
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 P is repeated. Make the area of P the same. LCM of 8 and 4 is 8.
When P is 8 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.
Shaded areasTotal area =
2 8 + 3 + 4 =
215 Answer(s):
215 
