Question

the area of a square plot is 6084 m sq. find the length of the wire which can go four times along the boundary of the plot ​

Answer 1

AnswEr :

• Area Of Square Plot = 6084 m²
• Find length of wire which can go four times along the boundary of plot.

• According to the Question Now :

$\longrightarrow \tt Area \:of \:Square = {(Side)}^{2} \\ \\\longrightarrow \tt6084 = {(Side)}^{2} \\ \\ \longrightarrow \tt Side = \sqrt{6084}$

$\begin{array}{r | l}2 & 6084\\\cline{2-2}2 & 3042\\\cline{2-2}3 & 1521\\\cline{2-2}3 & 507\\\cline{2-2}13 & 169\\\cline{2-2} & 13\end{array}$

$\longrightarrow \tt Side = \sqrt{2 \times 2 \times 3 \times 3 \times 13 \times 13} \\ \\ \longrightarrow \tt Side =2 \times 3 \times 13 \\ \\ \longrightarrow \orange{\tt Side =78 \:m}$

$\rule{300}{2}$

• T O T A L ⠀L E N G T H ⠀O F ⠀W I R E :

$\implies \tt Total \:Length = Perimeter \:of \: Square \times 4 \\ \\ \implies \tt Total \:Length =4(side) \times 4 \\ \\ \implies \tt Total \:Length =4 \times 78m \times 4 \\ \\ \implies \boxed{ \blue{\tt Total \:Length =1248 \: m}}$

⠀

∴ Length of 1248m of wire will required.

Answer 2

Answer:

$\bold\red{1248\:m}$

$\textbf{\underline{Given\::}}$

• Area of square plot = 6084 m sq.

$\textbf{\underline{To\:Find\::}}$

•Length of the wire which can go four times along the boundary of the plot.

$\textbf{\underline{\underline{Solution\::}}}$

★ Area of the square=(Side) sq.

Or, 6084 = (Side) sq.

Or, Side = √6084 m

★ Side of square = 78 m

$\rule{300}{2}$

Length of the wire = Perimeter × 4

Length of the wire = 4 × side × 4

Length of the wire = (4 × 78 × 4 ) m

★ Length of the wire=1248 m.

$\rule{300}{2}$

★ Length of 1248 m will be required for the plot ★

Hope it helps you ♥ ♥ ♥