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