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