The square is divided into 4 parts, S, T, U and V. S and T form
12 of the square. The area of V is double of the area of U, while the ratio of the area of T to the area of S is 1 : 5. What fraction of the square is the sum of the area of V and S? Leave your answer in the simplest form.
V |
U |
T |
S |
U + V |
T + S |
2x2 |
1x2 |
|
|
3x2 |
|
|
|
5x1 |
1x1 |
|
6x1 |
12 u |
6 u |
5 u |
1 u |
6 u |
6 u |
Since S and T form
12 of the square, the sum of the areas of S and T is the same as the sum of the areas of U and V.
Sum of V and S
= 12 u + 1 u
= 13 u
Area of the square
= 12 u + 6 u + 5 u + 1 u
= 24 u
Fraction of the sum of the areas of V and S to the whole square =
1324 Answer(s):
1324