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