The figure, not drawn to scale, is made up of Square L and Rectangles M and N. The area of Square L is
89 of the total area of Rectangles M and N.
14 of Square L is shaded.
14 of Rectangle M is shaded.
15 of Rectangle N is shaded. What fraction of the figure is shaded?
|
L |
M |
N |
Comparing L and the total of M and N |
8x1 = 8 u |
9x1 = 9 u |
Total |
4x2 = 8 u |
4x1 = 4 u |
5x1 = 5 u |
Shaded |
1x2 = 2 u |
1x1 = 1 u |
1x1 = 1 u |
Unshaded |
3x2 = 6 u |
3x1 = 3 u |
4x1 = 4 u |
The area of L is repeated. Make the area of L the same. LCM of 8 and 4 is 8.
When L is 8 u, the total areas of M and N is 9 u.
Then adjust the values of M and N so that the total areas of M and N is equal to 9 u.
Shaded areasTotal area =
2 8 + 3 + 4 =
215 Answer(s):
215