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 : 3. What fraction of the square is the sum of the area of K and G? Leave your answer in the simplest form.
K |
J |
H |
G |
J + K |
H + G |
2x4 |
1x4 |
|
|
3x4 |
|
|
|
3x3 |
1x3 |
|
4x3 |
8 u |
4 u |
9 u |
3 u |
12 u |
12 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 K and G
= 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 K and G to the whole square =
1124 Answer(s):
1124