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 : 4. 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 |
2x5 |
1x5 |
|
|
3x5 |
|
|
|
4x3 |
1x3 |
|
5x3 |
10 u |
5 u |
12 u |
3 u |
15 u |
15 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
= 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 Q and R to the whole square =
1730 Answer(s):
1730