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 : 4. What fraction of the square is the sum of the area of D and A? Leave your answer in the simplest form.
D |
C |
B |
A |
C + D |
B + A |
2x5 |
1x5 |
|
|
3x5 |
|
|
|
4x3 |
1x3 |
|
5x3 |
10 u |
5 u |
12 u |
3 u |
15 u |
15 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 D and A
= 10 u + 3 u
= 13 u
Area of the square
= 10 u + 5 u + 12 u + 3 u
= 30 u
Fraction of the sum of the areas of D and A to the whole square =
1330 Answer(s):
1330