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 : 4. What fraction of the square is the sum of the area of R and S? Leave your answer in the simplest form.
T |
S |
R |
Q |
S + T |
R + Q |
2x5 |
1x5 |
|
|
3x5 |
|
|
|
4x3 |
1x3 |
|
5x3 |
10 u |
5 u |
12 u |
3 u |
15 u |
15 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 R and S
= 12 u + 5 u
= 17 u
Area of the square
= 10 u + 5 u + 12 u + 3 u
= 30 u
Fraction of the sum of the areas of R and S to the whole square =
1730 Answer(s):
1730