The square is divided into 4 parts, N, P, Q and R. N and P form
12 of the square. The area of R is double of the area of Q, while the ratio of the area of P to the area of N is 1 : 3. What fraction of the square is the sum of the area of R and N? Leave your answer in the simplest form.
R |
Q |
P |
N |
Q + R |
P + N |
2x4 |
1x4 |
|
|
3x4 |
|
|
|
3x3 |
1x3 |
|
4x3 |
8 u |
4 u |
9 u |
3 u |
12 u |
12 u |
Since N and P form
12 of the square, the sum of the areas of N and P is the same as the sum of the areas of Q and R.
Sum of R and N
= 8 u + 3 u
= 11 u
Area of the square
= 8 u + 4 u + 9 u + 3 u
= 24 u
Fraction of the sum of the areas of R and N to the whole square =
1124 Answer(s):
1124