Question

Please solve this question by step by step
square and square roots​

Answer 1

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

$\large\texttt{↦ Area of the square field = 60025 m²}\\\\\large\texttt{↦ Speed of the cyclist = 5 m/s .}$

$\LARGE\textbf{\underline{\underline{To find :-}}}$

$\large\texttt{↦ Time required to reach the starting point = ?}$

$\LARGE\textbf{\underline{\underline{Formula :-}}}$

$\large : \: \Longrightarrow\underline{\boxed{\textsf\textcolor{green}{ Area_{ ( \: Square \: ) } = Side^{2} }}}\\\\\\\large : \: \Longrightarrow\underline{\boxed{\textsf\textcolor{green}{ Time = \cfrac{ Distance}{Speed} }}}$

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

• First we have to find the side of the square field :-

$\large\: \bigstar\textsf\textcolor{orange}{\: \: \: Area _ { ( \: Square \: ) } = Side ^ {2} }\\\\\\\large: \: \Longrightarrow\textsf{60025 = Side²}\\\\\\\large: \: \Longrightarrow\textsf{ \sqrt{60025}= Side }\\\\\\\large: \: \Longrightarrow\textsf{ \sqrt{245 × 245 } = Side }\\\\\\\large: \: \Longrightarrow\textsf{245 = Side}\\\\\\\large : \: \Longrightarrow\underline{\boxed{\textsf\textcolor{purple}{Side = 245 m.}}}$

• As we know that all the sides of the square are equal .

• So , the cyclist have to travel = 245 × 4 = 980 m .

• Now we have to calculate the time he will take the reach the starting point .

• By using Time Formula :-

$\large\: \bigstar\textsf\textcolor{orange}{\: \: \: Time = \cfrac{Distance}{Speed} }\\\\\\\large: \: \Longrightarrow\textsf{ = \cfrac{980}{5} }\\\\\\\large: \: \Longrightarrow\textsf{ = \cancel\cfrac{980}{5} }\\\\\\\large : \: \Longrightarrow\underline{\boxed{\textsf\textcolor{purple}{Time = 198 sec .}}}$

• So the cyclist will take 198 sec the reach the starting point .

Answer 2

Area =60025 m square

let the length be x.

x^2=60025

So x= 245 m

Perimeter=4*x= 980 m

Speed =18 km/h =18*5/18 m/s =5 m/s

Time= distance/speed

=980/5

=196 s

So he will return to the starting point in 196 s.

$\huge\pink{}$