Let original length =
x metres and original breadth =
y metres.
Original area = (xy) m2.
| New length = |
❨ |
120 |
x |
❩m |
= |
❨ |
6 |
x |
❩m. |
| 100 |
5 |
| New breadth = |
❨ |
120 |
y |
❩m |
= |
❨ |
6 |
y |
❩m. |
| 100 |
5 |
| New Area = |
❨ |
6 |
x x |
6 |
y |
❩m2 |
= |
❨ |
36 |
xy |
❩m2. |
| 5 |
5 |
25 |
The difference between the original area = xy and new-area 36/25 xy is
= (36/25)xy - xy
= xy(36/25 - 1)
= xy(11/25) or (11/25)xy
| ∴ Increase % = |
❨ |
11 |
xy x |
1 |
x 100 |
❩% |
= 44%. |
| 25 |
xy |
