The square is divided into 4 parts, R, S, T and U. R and S form
12 of the square. The area of U is double of the area of T, while the ratio of the area of S to the area of R is 1 : 7. What fraction of the square is the sum of the area of S and T? Leave your answer in the simplest form.
| U |
T |
S |
R |
T + U |
S + R |
| 2x8 |
1x8 |
|
|
3x8 |
|
| |
|
7x3 |
1x3 |
|
8x3 |
| 16 u |
8 u |
21 u |
3 u |
24 u |
24 u |
Since R and S form
12 of the square, the sum of the areas of R and S is the same as the sum of the areas of T and U.
Sum of S and T
= 21 u + 8 u
= 29 u
Area of the square
= 16 u + 8 u + 21 u + 3 u
= 48 u
Fraction of the sum of the areas of S and T to the whole square =
2948 Answer(s):
2948 
