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