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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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Answer» 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` `b=40-2*8=40-16=24m`. |
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