The square is divided into 4 parts, E, F, G and H. E and F form
12 of the square. The area of H is double of the area of G, while the ratio of the area of F to the area of E is 1 : 4. What fraction of the square is the sum of the area of F and G? Leave your answer in the simplest form.
| H |
G |
F |
E |
G + H |
F + E |
| 2x5 |
1x5 |
|
|
3x5 |
|
| |
|
4x3 |
1x3 |
|
5x3 |
| 10 u |
5 u |
12 u |
3 u |
15 u |
15 u |
Since E and F form
12 of the square, the sum of the areas of E and F is the same as the sum of the areas of G and H.
Sum of F and G
= 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 F and G to the whole square =
1730 Answer(s):
1730 
