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 : 6. What fraction of the square is the sum of the area of S and P? Leave your answer in the simplest form.
S |
R |
Q |
P |
R + S |
Q + P |
2x7 |
1x7 |
|
|
3x7 |
|
|
|
6x3 |
1x3 |
|
7x3 |
14 u |
7 u |
18 u |
3 u |
21 u |
21 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 S and P
= 14 u + 3 u
= 17 u
Area of the square
= 14 u + 7 u + 18 u + 3 u
= 42 u
Fraction of the sum of the areas of S and P to the whole square =
1742 Answer(s):
1742