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 : 5. 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 |
2x2 |
1x2 |
|
|
3x2 |
|
|
|
5x1 |
1x1 |
|
6x1 |
12 u |
6 u |
5 u |
1 u |
6 u |
6 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
= 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 T and Q to the whole square =
1324 Answer(s):
1324