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 : 3. What fraction of the square is the sum of the area of T and U? Leave your answer in the simplest form.
V |
U |
T |
S |
U + V |
T + S |
2x4 |
1x4 |
|
|
3x4 |
|
|
|
3x3 |
1x3 |
|
4x3 |
8 u |
4 u |
9 u |
3 u |
12 u |
12 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 T and U
= 9 u + 4 u
= 13 u
Area of the square
= 8 u + 4 u + 9 u + 3 u
= 24 u
Fraction of the sum of the areas of T and U to the whole square =
1324 Answer(s):
1324