The ratio between the length and the breadth of a rectangular field is 3 : 2 . If only the length is increased by 5 metres, the new area of the field will be 2600 sq. metres. What is the breadth of the rectangular field ?
Let length = `(3x)` metres and breadth = `(2x)` m.
Then , `(3x + 5) xx 2x = 2600`
`hArr 6x^2 + 10x - 2600` = 0
`hArr 3x^2 + 5x - 1600 = 0`
`hArr (3x + 65 ) ( x - 20) = 0`
`hArr x = 20.
`:.` Breadth = `2x` = 40 m.
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