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