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 : 7. What fraction of the square is the sum of the area of F and G? Leave your answer in the simplest form.
H |
G |
F |
E |
G + H |
F + E |
2x8 |
1x8 |
|
|
3x8 |
|
|
|
7x3 |
1x3 |
|
8x3 |
16 u |
8 u |
21 u |
3 u |
24 u |
24 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 F and G
= 21 u + 8 u
= 29 u
Area of the square
= 16 u + 8 u + 21 u + 3 u
= 48 u
Fraction of the sum of the areas of F and G to the whole square =
2948 Answer(s):
2948