The square is divided into 4 parts, A, B, C and D. A and B form
12 of the square. The area of D is double of the area of C, while the ratio of the area of B to the area of A is 1 : 5. What fraction of the square is the sum of the area of B and C? Leave your answer in the simplest form.
D |
C |
B |
A |
C + D |
B + A |
2x2 |
1x2 |
|
|
3x2 |
|
|
|
5x1 |
1x1 |
|
6x1 |
12 u |
6 u |
5 u |
1 u |
6 u |
6 u |
Since A and B form
12 of the square, the sum of the areas of A and B is the same as the sum of the areas of C and D.
Sum of B and C
= 5 u + 6 u
= 11 u
Area of the square
= 12 u + 6 u + 5 u + 1 u
= 24 u
Fraction of the sum of the areas of B and C to the whole square =
1124 Answer(s):
1124