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There is a square field whose side is 44...

There is a square field whose side is 44 m. A square flower bed is prepared in its centre leaving a gravel path all round the flower bed. The total cost of laying the flower bed and gravelling the path at Rs 2.75 and Rs 1.50 per square metre, respectively, is Rs 4904. Find the width of the gravel path.

Text Solution

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`A_f=(44-2d)^2`
`A_g=A_r-A_f`
`=44^2-(44-2d)^2`
`=[44+(44-2d)][44-(44-2d)]`
`=(88-2d)(2d)`
`=2(2d)(44-d)`
`(44-2d)^2*275/100+4d(44-d)*150/100=4904`
`d^2-44d+4*21=0`
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