The square is divided into 4 parts, H, J, K and L. H and J form
12 of the square. The area of L is double of the area of K, while the ratio of the area of J to the area of H is 1 : 3. What fraction of the square is the sum of the area of J and K? Leave your answer in the simplest form.
L |
K |
J |
H |
K + L |
J + H |
2x4 |
1x4 |
|
|
3x4 |
|
|
|
3x3 |
1x3 |
|
4x3 |
8 u |
4 u |
9 u |
3 u |
12 u |
12 u |
Since H and J form
12 of the square, the sum of the areas of H and J is the same as the sum of the areas of K and L.
Sum of J and K
= 9 u + 4 u
= 13 u
Area of the square
= 8 u + 4 u + 9 u + 3 u
= 24 u
Fraction of the sum of the areas of J and K to the whole square =
1324 Answer(s):
1324