Question

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 ​

Answer 1

$\large\bf\underline\red{Given \: :- }$

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

$\large\bf\underline\red{To \: find \: :- }$

• Side of square

$\large\bf\underline\red{Solution \: :- }</h3><h3>$

First we find the area of rectangle

Using formula

${\bigstar \: {\small{\underline{\boxed{\bf{\pink{Area \: of \: rectangle = length × breadth }}}}}}}$

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

${\bigstar \: {\small{\underline{\boxed{\bf{\pink{ Area \: of \: square = side²}}}}}}}</p><p>$

By using

=> 56.76 = side²

=> √56.76 = side

=> side = 7.53m

$\leadsto\sf\red{Side = 7.53m}$

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Answer 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.