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 : 5. 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 |
2x2 |
1x2 |
|
|
3x2 |
|
|
|
5x1 |
1x1 |
|
6x1 |
12 u |
6 u |
5 u |
1 u |
6 u |
6 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
= 12 u + 1 u
= 13 u
Area of the square
= 12 u + 6 u + 5 u + 1 u
= 24 u
Fraction of the sum of the areas of X and U to the whole square =
1324 Answer(s):
1324