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 : 7. What fraction of the square is the sum of the area of X and U? Leave your answer in the simplest form.
X |
W |
V |
U |
W + X |
V + U |
2x8 |
1x8 |
|
|
3x8 |
|
|
|
7x3 |
1x3 |
|
8x3 |
16 u |
8 u |
21 u |
3 u |
24 u |
24 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 X and U
= 16 u + 3 u
= 19 u
Area of the square
= 16 u + 8 u + 21 u + 3 u
= 48 u
Fraction of the sum of the areas of X and U to the whole square =
1948 Answer(s):
1948