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