The square is divided into 4 parts, K, L, M and N. K and L form
12 of the square. The area of N is double of the area of M, while the ratio of the area of L to the area of K is 1 : 3. What fraction of the square is the sum of the area of N and K? Leave your answer in the simplest form.
N |
M |
L |
K |
M + N |
L + K |
2x4 |
1x4 |
|
|
3x4 |
|
|
|
3x3 |
1x3 |
|
4x3 |
8 u |
4 u |
9 u |
3 u |
12 u |
12 u |
Since K and L form
12 of the square, the sum of the areas of K and L is the same as the sum of the areas of M and N.
Sum of N and K
= 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 N and K to the whole square =
1124 Answer(s):
1124