The square is divided into 4 parts, P, Q, R and S. P and Q form
12 of the square. The area of S is double of the area of R, while the ratio of the area of Q to the area of P is 1 : 5. What fraction of the square is the sum of the area of Q and R? Leave your answer in the simplest form.
S |
R |
Q |
P |
R + S |
Q + P |
2x2 |
1x2 |
|
|
3x2 |
|
|
|
5x1 |
1x1 |
|
6x1 |
12 u |
6 u |
5 u |
1 u |
6 u |
6 u |
Since P and Q form
12 of the square, the sum of the areas of P and Q is the same as the sum of the areas of R and S.
Sum of Q and R
= 5 u + 6 u
= 11 u
Area of the square
= 12 u + 6 u + 5 u + 1 u
= 24 u
Fraction of the sum of the areas of Q and R to the whole square =
1124 Answer(s):
1124