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