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 : 7. 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 |
2x8 |
1x8 |
|
|
3x8 |
|
|
|
7x3 |
1x3 |
|
8x3 |
16 u |
8 u |
21 u |
3 u |
24 u |
24 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
= 21 u + 8 u
= 29 u
Area of the square
= 16 u + 8 u + 21 u + 3 u
= 48 u
Fraction of the sum of the areas of Q and R to the whole square =
2948 Answer(s):
2948