Question

the area of a square garden is 400 sq.m what is the cost of fencing the garden at rate of rupees 4 per metre ? (step by step explanation)​

Answer 1

As area is 400 sq m therefore length of fence is l=20 m
Now perimeter of square garden=4l=80 m
Now cost per m is ₹ 4
So cost for 80 m is ₹320

Answer 2

Given:-

$\red{➤}\:$$\sf Area\: of\: square\: garden= 400 \:m^2$

$\red{➤}\:$$\sf Cost \: of \: fencing \:the \: garden\:per \:$

$\sf metre= 4\:Rs$

To Find:-

$\orange{☛}\:$$\sf Total \:Cost \:of \: fencing \:garden$

Solution:-

$\underline{\bf{Formula\:Applied}}$

$\green{ \underline { \boxed{ \sf{Area \: of \: square = Side×Side}}}}$

$\underline{\tt\pink{Putting \:Values-}}$

$\begin{gathered}\\\quad\longrightarrow\quad\sf 400 = Side×Side \\\end{gathered}$

$\begin{gathered}\\\quad\longrightarrow\quad\sf (20)² = (Side)²\\\end{gathered}$

$\quad\quad\quad\quad\sf(Taking\:square \: root\;both\:sides)$

$\begin{gathered}\\\quad\longrightarrow\quad\sf 20 = Side\\\end{gathered}$

$\begin{gathered}\\\quad\longrightarrow\quad \boxed{\sf{Side=20m}}\\\end{gathered}$

Since Fencing is done on outer part of garden,we will have to find perimeter -

$\green{ \underline { \boxed{ \sf{Perimeter \: of \: square = 4×Side}}}}$

$\underline{\tt\pink{Putting \:Values-}}$

$\begin{gathered}\\\quad\longrightarrow\quad\sf Perimeter \: of \: square \:garden = 4× 20 \\\end{gathered}$

$\begin{gathered}\\\quad\longrightarrow\quad\sf Perimeter \:of \: square \:garden = 80\:m \\\end{gathered}$

$\underline{\frak\green{Now}}$

$\begin{gathered}\\\quad\longrightarrow\quad\sf Cost \:of \:fencing \: 1 \:m=4 Rs \\\end{gathered}$

$\begin{gathered}\\\quad\longrightarrow\quad\sf Cost \: of \: fencing \: 80m=4 ×80 \\\end{gathered}$

$\begin{gathered}\\\quad\longrightarrow\quad\sf Cost \: of \:fencing \: 80 \:m=320 Rs \\\end{gathered}$

$\begin{gathered}\\\quad\\\boxed{\sf{Total\: Cost\: of\: fencing\: garden = \red{320\:Rs}}} \\\end{gathered}$