The square is divided into 4 parts, V, W, X and Y. V and W form
12 of the square. The area of Y is double of the area of X, while the ratio of the area of W to the area of V is 1 : 3. What fraction of the square is the sum of the area of Y and V? Leave your answer in the simplest form.
Y |
X |
W |
V |
X + Y |
W + V |
2x4 |
1x4 |
|
|
3x4 |
|
|
|
3x3 |
1x3 |
|
4x3 |
8 u |
4 u |
9 u |
3 u |
12 u |
12 u |
Since V and W form
12 of the square, the sum of the areas of V and W is the same as the sum of the areas of X and Y.
Sum of Y and V
= 8 u + 3 u
= 11 u
Area of the square
= 8 u + 4 u + 9 u + 3 u
= 24 u
Fraction of the sum of the areas of Y and V to the whole square =
1124 Answer(s):
1124