Student: vikas jain

Q. A path 2.5 m wide is running a square field whose side is 45 m. Determine the area of the path


Answer :

Vikas, Thanks for your question. 

Here is the solution with steps :

Topic : Algebra - Equations

Concept :  Field is square shape and path is around that so shape of field including path would also be square share. So Imagine that there are 2 squares, First is  bigger one including the path around it and second one smaller which is original square field without path included. So difference of area of 2 squares would be area of path.

Method : 

  • Area of square = side * side
  • Smaller square side is 45 m
  • Area of small square = 45 * 45   m2   =   2025  m2
  • Bigger square side is 45 + 2.5 = 47.5 m
  • Area of small square = 47.5 * 47.5   m2   =   2256.25  m2
  • Area of path = Area of bigger square - Area of smaller square
  • Area of  path =  2256.25 - 2025  =  231.25 m2

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