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 : 6. 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 |
2x7 |
1x7 |
|
|
3x7 |
|
|
|
6x3 |
1x3 |
|
7x3 |
14 u |
7 u |
18 u |
3 u |
21 u |
21 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
= 18 u + 7 u
= 25 u
Area of the square
= 14 u + 7 u + 18 u + 3 u
= 42 u
Fraction of the sum of the areas of H and J to the whole square =
2542 Answer(s):
2542