The square is divided into 4 parts, U, V, W and X. U and V form
12 of the square. The area of X is double of the area of W, while the ratio of the area of V to the area of U is 1 : 6. What fraction of the square is the sum of the area of X and U? Leave your answer in the simplest form.
| X |
W |
V |
U |
W + X |
V + U |
| 2x7 |
1x7 |
|
|
3x7 |
|
| |
|
6x3 |
1x3 |
|
7x3 |
| 14 u |
7 u |
18 u |
3 u |
21 u |
21 u |
Since U and V form
12 of the square, the sum of the areas of U and V is the same as the sum of the areas of W and X.
Sum of X and U
= 14 u + 3 u
= 17 u
Area of the square
= 14 u + 7 u + 18 u + 3 u
= 42 u
Fraction of the sum of the areas of X and U to the whole square =
1742 Answer(s):
1742 
