The figure, not drawn to scale, is made up of Square F and Rectangles G and H. The area of Square F is
811 of the total area of Rectangles G and H.
14 of Square F is shaded.
15 of Rectangle G is shaded.
16 of Rectangle H is shaded. What fraction of the figure is shaded?
|
F |
G |
H |
Comparing F and the total of G and H |
8x1 = 8 u |
11x1 = 11 u |
Total |
4x2 = 8 u |
5x1 = 5 u |
6x1 = 6 u |
Shaded |
1x2 = 2 u |
1x1 = 1 u |
1x1 = 1 u |
Unshaded |
3x2 = 6 u |
4x1 = 4 u |
5x1 = 5 u |
The area of F is repeated. Make the area of F the same. LCM of 8 and 4 is 8.
When F is 8 u, the total areas of G and H is 11 u.
Then adjust the values of G and H so that the total areas of G and H is equal to 11 u.
Shaded areasTotal area =
2 8 + 4 + 5 =
217 Answer(s):
217