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 : 4. What fraction of the square is the sum of the area of Z and W? Leave your answer in the simplest form.
| Z |
Y |
X |
W |
Y + Z |
X + W |
| 2x5 |
1x5 |
|
|
3x5 |
|
| |
|
4x3 |
1x3 |
|
5x3 |
| 10 u |
5 u |
12 u |
3 u |
15 u |
15 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 Z and W
= 10 u + 3 u
= 13 u
Area of the square
= 10 u + 5 u + 12 u + 3 u
= 30 u
Fraction of the sum of the areas of Z and W to the whole square =
1330 Answer(s):
1330 
