The square is divided into 4 parts, W, X, Y and Z. W and X form
12 of the square. The area of Z is double of the area of Y, while the ratio of the area of X to the area of W is 1 : 3. What fraction of the square is the sum of the area of X and Y? Leave your answer in the simplest form.
Z |
Y |
X |
W |
Y + Z |
X + W |
2x4 |
1x4 |
|
|
3x4 |
|
|
|
3x3 |
1x3 |
|
4x3 |
8 u |
4 u |
9 u |
3 u |
12 u |
12 u |
Since W and X form
12 of the square, the sum of the areas of W and X is the same as the sum of the areas of Y and Z.
Sum of X and Y
= 9 u + 4 u
= 13 u
Area of the square
= 8 u + 4 u + 9 u + 3 u
= 24 u
Fraction of the sum of the areas of X and Y to the whole square =
1324 Answer(s):
1324