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