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 : 3. 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 |
2x4 |
1x4 |
|
|
3x4 |
|
|
|
3x3 |
1x3 |
|
4x3 |
8 u |
4 u |
9 u |
3 u |
12 u |
12 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
= 8 u + 3 u
= 11 u
Area of the square
= 8 u + 4 u + 9 u + 3 u
= 24 u
Fraction of the sum of the areas of E and B to the whole square =
1124 Answer(s):
1124