The figure, not drawn to scale, is made up of Square T and Rectangles U and V. The area of Square T is
23 of the total area of Rectangles U and V.
13 of Square T is shaded.
14 of Rectangle U is shaded.
15 of Rectangle V is shaded. What fraction of the figure is unshaded?
|
T |
U |
V |
Comparing T and the total of U and V |
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 T is repeated. Make the area of T the same. LCM of 2 and 3 is 6.
When T is 6 u, the total areas of U and V is 9 u.
Then adjust the values of U and V so that the total areas of U and V is equal to 9 u.
Unshaded areasTotal area =
4 + 3 + 4 6 + 3 + 4 =
1113 Answer(s):
1113