Find the length of each side of a square whose area is equal to the area of a rectangle of length 14.8 m and breadth 3.7 ​

2 thoughts on “Find the length of each side of a square whose area is equal to the area of a rectangle of length 14.8 m and breadth 3.7 ​”

1. [tex]\large\bf\underline\red{Given \: :- }[/tex]

   • Length of rectangle = 14.8m
   • Breadth of rectangle = 3.7m
   • Area of rectangle = Area of square

   [tex]\large\bf\underline\red{To \: find \: :- }[/tex]

   • Side of square

   [tex]\large\bf\underline\red{Solution \: :- }

   [/tex]

   First we find the area of rectangle

   Using formula

   [tex]{\bigstar \: {\small{\underline{\boxed{\bf{\pink{Area \: of \: rectangle = length × breadth }}}}}}}[/tex]

   By using

   => 14.8 × 3.7

   => 56.76

   Area of rectangle = 56.76m²

   We know that,

   Area of rectangle = Area of square

   Hence,

   Area of square = 56.76m²

   We have to find side

   Using formula

   [tex]{\bigstar \: {\small{\underline{\boxed{\bf{\pink{ Area \: of \: square = side²}}}}}}}

   [/tex]

   By using

   => 56.76 = side²

   => √56.76 = side

   => side = 7.53m

   [tex]\leadsto\sf\red{Side = 7.53m}[/tex]

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2. Area of a rectangle = length × breadth

   Therefore, Area = 14.8m × 3.7m= 54.76m²

   Since, The area of rectangle = The area of square

   Therefore, The area of square = 54.76cm²

   Length of one side of the square = √Side Therefore, Side = √54.76cm² = 7.4m Ans.

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