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 : 6. 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 |
2x7 |
1x7 |
|
|
3x7 |
|
|
|
6x3 |
1x3 |
|
7x3 |
14 u |
7 u |
18 u |
3 u |
21 u |
21 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
= 14 u + 3 u
= 17 u
Area of the square
= 14 u + 7 u + 18 u + 3 u
= 42 u
Fraction of the sum of the areas of Z and W to the whole square =
1742 Answer(s):
1742