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