The length and breadth of a rectangular park are in the ratio 5:2.A 2.5 m width path running all around the outside of the park has an area of 305 m*2 . find the dimensions of the park.
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length of rectangular park=5x
breadth of rectangular park=2x
length of rectangular park +path=5x+2.5+2.5=5x+5
breadth of rectangular park+path=2x+2.5+2.5=2x+5
Area of rectangular park=5x×2x=10x^2
Area of rectangular park+path=(5x+5)(2x+5)=10x^2+25x+10x+25=10x^2+35x+25
Area of path =(area of rectangular park+path)-(Area of rectangular park)=305m^2
=10x^2+35x+25-10x^2=305
=35x+25=305
35x=305-25
x=280/35=8m
Area of rectangular park=10x^2=10(8)^2=10×64=640m^2
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breadth of rectangular park=2x
length of rectangular park +path=5x+2.5+2.5=5x+5
breadth of rectangular park+path=2x+2.5+2.5=2x+5
Area of rectangular park=5x×2x=10x^2
Area of rectangular park+path=(5x+5)(2x+5)=10x^2+25x+10x+25=10x^2+35x+25
Area of path =(area of rectangular park+path)-(Area of rectangular park)=305m^2
=10x^2+35x+25-10x^2=305
=35x+25=305
35x=305-25
x=280/35=8m
Area of rectangular park=10x^2=10(8)^2=10×64=640m^2
please reply fast
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