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