The square is divided into 4 parts, C, D, E and F. C and D form
12 of the square. The area of F is double of the area of E, while the ratio of the area of D to the area of C is 1 : 6. What fraction of the square is the sum of the area of F and C? Leave your answer in the simplest form.
F |
E |
D |
C |
E + F |
D + C |
2x7 |
1x7 |
|
|
3x7 |
|
|
|
6x3 |
1x3 |
|
7x3 |
14 u |
7 u |
18 u |
3 u |
21 u |
21 u |
Since C and D form
12 of the square, the sum of the areas of C and D is the same as the sum of the areas of E and F.
Sum of F and C
= 14 u + 3 u
= 17 u
Area of the square
= 14 u + 7 u + 18 u + 3 u
= 42 u
Fraction of the sum of the areas of F and C to the whole square =
1742 Answer(s):
1742