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A Field is 70m long and 40m broad a path of uniform width runs all around inside the field and covers and area of 1000 square metre find the width of the path

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Asked by Garodiasatyam 24th February 2019, 12:20 PM
Answered by Expert
Answer:
 
 
Area of an internal field = (70 - 2x)(40 - 2x)
 
Width of the path = Area of a field - Area of an internal field
→1000 = 2800 - (70 - 2x)(40 - 2x)
x2 - 55x + 250 = 0
→(x - 50)(x - 5) = 0
x = 50 is not acceptable.
x = 5
 
Therefore the width of the path is 5 m.
Answered by Expert 24th February 2019, 5:49 PM
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