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