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InterviewSolution
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A rectangular field is 16 m long and 10 m wide. There is a path of uniform width all around it, having an area of `120 m^(2)`. Find the width of the path. |
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Answer» Correct Answer - 2 m Let the width of the path be x m. So, the length of the field with path `=(16+2x)m` and breadth of the field with path `=(10+2x)m.` `:." "(16+2x)(10+2x)-16xx10=120` `implies" "160+52x+4x^(2)-160=120` `implies" "4x^(2)+52x-120=0impliesx^(2)+13x-30=0` `implies" "x^(2)+15x-2x-30=0impliesx(x+15)-2(x+15)=0` `implies" "(x+15)(x-2)=0impliesx=-15" or "2.` So, width of the path `2m.` |
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