Question

The area of a square field is 16,900sqm. Find its side.

Answer 1

Answer:

area of square = side ^2

16900=x^2

x=√16900

x =130

side if square is 130m

Mark it as brainliest

Answer 2

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

The Side of the Square is 130 m.

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

Given :

Area of the Square = 16,900 sq.m

To Find :

The Side of the Square

Solution :

Consider the side as x

★ Area of the Square = $\boxed{\sf{Side \times Side}}$

$\longrightarrow \: {x} \times x= 16900$

$\longrightarrow \: {x}^{2} = 16900$

$\longrightarrow \:x = \sqrt{16900}$

Square root of 16900 =

$\textbf{Prime Factorize 16900 -}$

$\begin{array}{r|l} 2 & 16900 \\\cline{1-2} 2 & 8450 \\\cline{1-2} 5 & 4225 \\ \cline{1-2} 5 & 845 \\\cline{1-2} 13 & 169 \\ \cline{1-2} 13 & 13 \\ \cline{1-2} & 1 \end{array}$

16900 = 2 × 2 × 5 × 5 × 13 × 13

$\longrightarrow$ $\sqrt{16900}$ = 2 × 5 × 13

$\longrightarrow$ $\sqrt{16900}$ = 10 × 13

$\longrightarrow$ $\sqrt{16900}$ = 130

$\longrightarrow \:x = 130$

Side = 130 m

$\therefore$ The Side of the Square is 130 m.

$\rule{300}{1.5}$

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

$\longrightarrow \: 130 \times 130 = 16900$

$\longrightarrow \:16900 = 16900$

$\therefore$ The Side of the Square is 130 m.