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  • A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area?

Q1.  A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area?

 

 

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Given: 

    Perimeter of square = perimeter of rectangle 

\Rightarrow    4\times side = 2(length + breadth)

\Rightarrow    4\times 60 = 2(80 + breadth)

\Rightarrow      240\div 2=(80+breadth)

\Rightarrow         120=(80+breadth)

 \Rightarrow      (breadth)=120-80

 \Rightarrow         (breadth)=40

 

Area of square = side^{2}= 60^{2}=3600 m^{2}

Area of rectangle = = (length\times breadth)=80\times 40=3200m^{2}

Hence, area of square is greater than area of rectangle.

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seema garhwal

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