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 : 4. What fraction of the square is the sum of the area of Q and M? Leave your answer in the simplest form.
| Q |
P |
N |
M |
P + Q |
N + M |
| 2x5 |
1x5 |
|
|
3x5 |
|
| |
|
4x3 |
1x3 |
|
5x3 |
| 10 u |
5 u |
12 u |
3 u |
15 u |
15 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 Q and M
= 10 u + 3 u
= 13 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 M to the whole square =
1330 Answer(s):
1330 
