The figure, not drawn to scale, is made up of Square M and Rectangles N and P. The area of Square M is
811 of the total area of Rectangles N and P.
14 of Square M is shaded.
15 of Rectangle N is shaded.
16 of Rectangle P is shaded. What fraction of the figure is unshaded?
|
M |
N |
P |
Comparing M and the total of N and P |
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 M is repeated. Make the area of M the same. LCM of 8 and 4 is 8.
When M is 8 u, the total areas of N and P is 11 u.
Then adjust the values of N and P so that the total areas of N and P is equal to 11 u.
Unshaded areasTotal area =
6 + 4 + 5 8 + 4 + 5 =
1517 Answer(s):
1517