The figure, not drawn to scale, is made up of Square N and Rectangles P and Q. The area of Square N is
23 of the total area of Rectangles P and Q.
13 of Square N is shaded.
14 of Rectangle P is shaded.
15 of Rectangle Q is shaded. What fraction of the figure is shaded?
|
N |
P |
Q |
Comparing N and the total of P and Q |
2x3 = 6 u |
3x3 = 9 u |
Total |
3x2 = 6 u |
4x1 = 4 u |
5x1 = 5 u |
Shaded |
1x2 = 2 u |
1x1 = 1 u |
1x1 = 1 u |
Unshaded |
2x2 = 4 u |
3x1 = 3 u |
4x1 = 4 u |
The area of N is repeated. Make the area of N the same. LCM of 2 and 3 is 6.
When N is 6 u, the total areas of P and Q is 9 u.
Then adjust the values of P and Q so that the total areas of P and Q is equal to 9 u.
Shaded areasTotal area =
2 6 + 3 + 4 =
213 Answer(s):
213