The figure, not drawn to scale, is made up of Square F and Rectangles G and H. The area of Square F is
23 of the total area of Rectangles G and H.
13 of Square F is shaded.
14 of Rectangle G is shaded.
15 of Rectangle H is shaded. What fraction of the figure is shaded?
| |
F |
G |
H |
Comparing F and the
total of G and H |
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 F is repeated. Make the area of F the same. LCM of 2 and 3 is 6.
When F is 6 u, the total areas of G and H is 9 u.
Then adjust the values of G and H so that the total areas of G and H is equal to 9 u.
Shaded areasTotal area =
2 6 + 3 + 4 =
213 Answer(s):
213 
