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 : 5. 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 |
2x2 |
1x2 |
|
|
3x2 |
|
|
|
5x1 |
1x1 |
|
6x1 |
12 u |
6 u |
5 u |
1 u |
6 u |
6 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
= 12 u + 1 u
= 13 u
Area of the square
= 12 u + 6 u + 5 u + 1 u
= 24 u
Fraction of the sum of the areas of E and B to the whole square =
1324 Answer(s):
1324