If the length and breadth of a rectangular plot be increased by 50% and 20% respectively then how many times its area be increased ?
Let original length = `x` metres and original breadth = y meres., original area = `(xy) m^2`
New length =`(150/100 x) m = (3/2 x) m`.
New breadth =` (120/100 y) m = (6/5 y) m`
New area = `(3/2 x xx 6/5y) m^2 = (9/5 xy)m^2`
`:.` Increase = `((4/5 xy)/(xy)) = 4/5` times.
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