The figure, not drawn to scale, is made up of Square M and Rectangles N and P. The area of Square M is
89 of the total area of Rectangles N and P.
14 of Square M is shaded.
14 of Rectangle N is shaded.
15 of Rectangle P is shaded. What fraction of the figure is shaded?
|
M |
N |
P |
Comparing M and the total of N and P |
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 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 9 u.
Then adjust the values of N and P so that the total areas of N and P is equal to 9 u.
Shaded areasTotal area =
2 8 + 3 + 4 =
215 Answer(s):
215