Question

THe area of square field is 61009 if a person ride a cycle at 18kmper hour find the time taken to reach the starting point

Answer 1

Question

The area of square field is 61009 meters² if a person ride a cycle at 18kmper hour find the time taken to reach the starting point

Solution

Given :-

• Area of Square field = 61,009 unit²
• Speed of cycle = 18 km/h

Find :-

• Time covered by cycle (T)

Explanation

Using Formula

★ Area of Square = (Side)²

==> 61,009 = (Side)²

==> Side = ± √(61,009)

==> Side = ± √(247 × 247 )

==> Side = ± 247

But, Length be always positive .

So, Take here , (+ve) Sign .

Since,

• Side = 247 meters

Again,

★Perimeter of Square = 4 × (Side)

==> perimeter of Square = 4 × 247

==> perimeter of Square = 988 meter

__________________________

Now,

==> Speed of cycle = 18 km/h

[ Convert Speed in m/s ]

For this, multiply by 5/18 ,

==> Speed of cycle = 18 × 5/18 m/s

==> Speed of cycle = 5 m/s

______________________

We know,

if cycle start ride around the Square by 5 m/s then, total covered distance equal to perimeter of Square .

Since,

★ Speed = ( Distance )/( Time)

==> Time = Distance / Speed

Keep all above values

==> Time = 988/5

==> Time = 197.6 second

Hence

• Total Time tale by cycle be = 197.6 sec.

__________________

Answer 2

$\bigstar$ Correct Question :

• The area of square field is 61009 meters² if a person ride a cycle at

18km/ hour find the time taken to reach the starting point ?

$\bigstar$ Solution :

$\bigstar$ Given :-

• Area of Square field = 61,009 unit²
• Speed of cycle = 18 km/h

$\bigstar$ To Find :-

• Time taken by cycle to reach the starting point

$\bigstar$ Explanation :-

$\star$ We know that ,

→ Area of Square = (Side)²

⇒ 61,009 = (Side)²

⇒ Side = ± √(61,009)

⇒ Side = ± √(247 × 247 )

⇒ Side = ± 247

$\star$ But, Length never be  negative .

$\star$ So , Side = 247 meters

→ Perimeter of Square = 4 × (Side)

⇒ perimeter of Square = 4 × 247

⇒ perimeter of Square = 988 meter

__________________________

$\star$ Now,

⇒ Speed of cycle = 18 km/h [ Convert Speed into m/s ]

⇒ Speed of cycle = 18 × 5/18 m/s

⇒ Speed of cycle = 5 m/s

__________________________

$\star$ We know,

→ If cycle start ride around the Square by 5 m/s then, total covered distance equal to perimeter of Square .

$\star$ Since,

→ Speed = ( Distance )/( Time)

Here distance is nothing but perimeter.

⇒ Time = Distance / Speed

$\star$ Keeping all above values, we get ,

⇒ Time = 988/5

⇒ Time = 197.6 second

$\star$ Hence ,

$\star$ Total Time tale by cycle be = 197.6 sec.

_________________________________

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