The square is divided into 4 parts, Q, R, S and T. Q and R form
12 of the square. The area of T is double of the area of S, while the ratio of the area of R to the area of Q is 1 : 3. What fraction of the square is the sum of the area of T and Q? Leave your answer in the simplest form.
| T |
S |
R |
Q |
S + T |
R + Q |
| 2x4 |
1x4 |
|
|
3x4 |
|
| |
|
3x3 |
1x3 |
|
4x3 |
| 8 u |
4 u |
9 u |
3 u |
12 u |
12 u |
Since Q and R form
12 of the square, the sum of the areas of Q and R is the same as the sum of the areas of S and T.
Sum of T and Q
= 8 u + 3 u
= 11 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 Q to the whole square =
1124 Answer(s):
1124 
