Within a rectangular garden 10 m wide and 20 m long , we wish to pave a walk around the borders of uniform width so as to leave an area of 96 `m^2` for flowers . How wide should the walk be ?
Let he width of walk be `x` metres. Then
(20 - 2`x`) (10 `2x`) = 96
`hArr 4x^2 + 64x - 104 = 0`
`hArr x^2 = 15x - 26 = 0`
`hArr (x - 13) (x -2) = 0`
`hArr x = 2` [` :.` x = `ne` 13]
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