The square is divided into 4 parts, C, D, E and F. C and D form
12 of the square. The area of F is double of the area of E, while the ratio of the area of D to the area of C is 1 : 3. What fraction of the square is the sum of the area of D and E? Leave your answer in the simplest form.
F |
E |
D |
C |
E + F |
D + C |
2x4 |
1x4 |
|
|
3x4 |
|
|
|
3x3 |
1x3 |
|
4x3 |
8 u |
4 u |
9 u |
3 u |
12 u |
12 u |
Since C and D form
12 of the square, the sum of the areas of C and D is the same as the sum of the areas of E and F.
Sum of D and E
= 9 u + 4 u
= 13 u
Area of the square
= 8 u + 4 u + 9 u + 3 u
= 24 u
Fraction of the sum of the areas of D and E to the whole square =
1324 Answer(s):
1324