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 : 4. 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 |
2x5 |
1x5 |
|
|
3x5 |
|
|
|
4x3 |
1x3 |
|
5x3 |
10 u |
5 u |
12 u |
3 u |
15 u |
15 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
= 12 u + 5 u
= 17 u
Area of the square
= 10 u + 5 u + 12 u + 3 u
= 30 u
Fraction of the sum of the areas of H and J to the whole square =
1730 Answer(s):
1730