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 : 3. 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 |
2x4 |
1x4 |
|
|
3x4 |
|
|
|
3x3 |
1x3 |
|
4x3 |
8 u |
4 u |
9 u |
3 u |
12 u |
12 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
= 8 u + 3 u
= 11 u
Area of the square
= 8 u + 4 u + 9 u + 3 u
= 24 u
Fraction of the sum of the areas of H and E to the whole square =
1124 Answer(s):
1124