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In the centre of a rectangular lawn of d...

In the centre of a rectangular lawn of dimensioms `50 mxx40 m` a rectangular pond has to be constructed so that the area of the grass surroundng the pond would be `1184 m^2` Find the length and breadth of the pond

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Area of lawn=50*40=2000`m^2`.
Area of pond=2000-1184=816`m^2.`
(50-2x)(40-2x)=816
`4x^2-180x+1184-0`
`x=(45pmsqrt(2025-1184))/2`
`x=(45pm29)/2=74/2,16/2`
`x=8m`
`l=50-2*8=50-16=34m`
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