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