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 : 6. 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 |
2x7 |
1x7 |
|
|
3x7 |
|
|
|
6x3 |
1x3 |
|
7x3 |
14 u |
7 u |
18 u |
3 u |
21 u |
21 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
= 14 u + 3 u
= 17 u
Area of the square
= 14 u + 7 u + 18 u + 3 u
= 42 u
Fraction of the sum of the areas of H and E to the whole square =
1742 Answer(s):
1742