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 : 4. What fraction of the square is the sum of the area of V and W? Leave your answer in the simplest form.
X |
W |
V |
U |
W + X |
V + U |
2x5 |
1x5 |
|
|
3x5 |
|
|
|
4x3 |
1x3 |
|
5x3 |
10 u |
5 u |
12 u |
3 u |
15 u |
15 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 V and W
= 12 u + 5 u
= 17 u
Area of the square
= 10 u + 5 u + 12 u + 3 u
= 30 u
Fraction of the sum of the areas of V and W to the whole square =
1730 Answer(s):
1730