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 unshaded?
|
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.
Unshaded areasTotal area =
6 + 3 + 4 8 + 3 + 4 =
1315 Answer(s):
1315