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The Area of a Square Filed is 8 Hectares. How Long Would a Man Take to Cross It Diagonally by Walking at the Rate of 4 Km per Hour? - Mathematics

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The area of a square filed is 8 hectares. How long would a man take to cross it diagonally by walking at the rate of 4 km per hour?

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Solution

Given, area of square field = 8 hectares 

= `8xx 0.01 [1 hectare= 0.01 km^2]` 

=`0.08 km^2`` 

Now, area of square field =`"(side of square)"^2=0.08` 

⇒ side of square field= `sqrt0.08=(2sqrt2)/10=sqrt2/5=km` 

Distance covered by man along the diagonal of square field = length of diagonal 

`sqrt2 "side"=sqrt2xxsqrt2/5=2/5 km` 

Speed of walking = 4km/h 

∴ Time taken = distance/ speed=`2/(5xx4)=2/20=1/10` 

=`0.1` hour 

=` 1/10xx60 min=6 minutes` 

Concept: Area of Circle
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APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 17 Perimeter and Areas of Plane Figures
Q 21

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