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 : 7. 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 |
2x8 |
1x8 |
|
|
3x8 |
|
|
|
7x3 |
1x3 |
|
8x3 |
16 u |
8 u |
21 u |
3 u |
24 u |
24 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
= 16 u + 3 u
= 19 u
Area of the square
= 16 u + 8 u + 21 u + 3 u
= 48 u
Fraction of the sum of the areas of K and G to the whole square =
1948 Answer(s):
1948