The square is divided into 4 parts, E, F, G and H. E and F form
12 of the square. The area of H is double of the area of G, while the ratio of the area of F to the area of E is 1 : 5. What fraction of the square is the sum of the area of H and E? Leave your answer in the simplest form.
H |
G |
F |
E |
G + H |
F + E |
2x2 |
1x2 |
|
|
3x2 |
|
|
|
5x1 |
1x1 |
|
6x1 |
12 u |
6 u |
5 u |
1 u |
6 u |
6 u |
Since E and F form
12 of the square, the sum of the areas of E and F is the same as the sum of the areas of G and H.
Sum of H and E
= 12 u + 1 u
= 13 u
Area of the square
= 12 u + 6 u + 5 u + 1 u
= 24 u
Fraction of the sum of the areas of H and E to the whole square =
1324 Answer(s):
1324