Question

find the length of each side of a square whose area is equal to the area of a rectangle of length 13.6 metres and breadth 3.4 metres​

Answer 1

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The side of the Square is 6.8 m

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

The area of Square = Area of Rectangle given.

Length of Rectangle = 13.6 m

Breadth of Rectangle = 3.4 m

To find :

The Measure of the side of Square

Solution :

As It is given that :

$\sf{Area \: of \: Rectangle = Area \: of \: Square}$

First find the area of Rectangle.

★ We know that :

Area of Rectangle = $\tt{Length \times Breadth}$

$\tt{\implies} \: 13.6 \times 3.4$

$\tt{\implies} \: 46.24$

The area of the Rectangle is 46.24 sq.m

Now, the area of the Square would be also = 46.24 sq.m

Consider the Measure of the side as x

Area of Square = $\tt{Side \times Side}$

$\tt{\implies} \: x \times x = 46.24$

$\tt{\implies} \: {x}^{2} = 46.24$

$\tt{\implies} \: x = \sqrt{46.24}$

$\tt{\implies} \: x = 6.8$

$\therefore$ The side of the Square is 6.8 m

$\mathfrak{\large{\underline{\underline{Verification :-}}}}$

$\tt{\implies} \: 6.8 \times 6.8 = 46.24$

$\tt{\implies} \: 46.24 = 46.24$

$\therefore$ The side of the Square is 6.8 m

Answer 2

Answer of the question ↓↓

It's simple, find the area of Rectangle then it would be equal to the area of the square.

Rectangle's area = 13.6 × 3.4

==> 46.24 m²

Now, find the square root of 46.24 as square's area = side²

==> √46.24

==> 6.8 m

. ' . The side of the square is 6.8 m

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