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 : 7. 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 |
2x8 |
1x8 |
|
|
3x8 |
|
|
|
7x3 |
1x3 |
|
8x3 |
16 u |
8 u |
21 u |
3 u |
24 u |
24 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
= 16 u + 3 u
= 19 u
Area of the square
= 16 u + 8 u + 21 u + 3 u
= 48 u
Fraction of the sum of the areas of D and A to the whole square =
1948 Answer(s):
1948