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 : 3. 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 |
2x4 |
1x4 |
|
|
3x4 |
|
|
|
3x3 |
1x3 |
|
4x3 |
8 u |
4 u |
9 u |
3 u |
12 u |
12 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
= 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 Q and M to the whole square =
1124 Answer(s):
1124