Question

find the length of a square plot whose area is equal to the area of a rectangular field of dimension 75 metre multiply 432 metre​

Answer 1

$\textbf{\underline{\underline{Answer :-}}}$

The side of the Square is 180 m.

$\textbf{\underline{\underline{Explanation :-}}}$

Given :

The dimensions of the Rectangle = 75 m and 432 m

Area of Rectangle = Area of Square

To find :

The Length of the Square

Solution :

It is Given in the Question that :

Area of Rectangle = Area of Square

$\rule{300}{1.5}$

First, find the area of the Rectangle

★ $\boxed{\sf{Area = Length \times Breadth}}$

$\sf{\implies} \:75 \times 432$

$\sf{\implies} \:32400$

Area of the Rectangle = 32400 m²

$\rule{300}{1.5}$

Area of the Square will be same as the Rectangle's.

Consider the side of the Square as x

★ $\boxed{\sf{Area = Side \times Side}}$

$\sf{\implies} \: x \times x = 32400$

$\sf{\implies} \: {x}^{2} = 32400$

$\sf{\implies} \: x = \sqrt{32400}$

$\sf{\implies} \: x = 180$

$\therefore$ The side of the Square is 180 m.

Answer 2

Answer -

find the area of the Rectangle =

==> 75 × 432

==> 32400

Now, let the side be as y

==> y² = 32400

==> y = √32400

==> y = 180

.°. The side = 180 m