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

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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