The square is divided into 4 parts, T, U, V and W. T and U form
12 of the square. The area of W is double of the area of V, while the ratio of the area of U to the area of T is 1 : 7. What fraction of the square is the sum of the area of W and T? Leave your answer in the simplest form.
| W |
V |
U |
T |
V + W |
U + T |
| 2x8 |
1x8 |
|
|
3x8 |
|
| |
|
7x3 |
1x3 |
|
8x3 |
| 16 u |
8 u |
21 u |
3 u |
24 u |
24 u |
Since T and U form
12 of the square, the sum of the areas of T and U is the same as the sum of the areas of V and W.
Sum of W and T
= 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 W and T to the whole square =
1948 Answer(s):
1948 
