Question

Priya runs around a square field of side 58 m. Prakash runs around a

rectangular field with length 170 m and breadth 120 m. who covers more

distance and by how much?

mention with steps ​

Answer 1

$\rm{\huge{\green{\underline{\boxed{Case \: 1 }}}}}$

$\sf{\bold{\green{\underline{\underline{Given}}}}}$

• Side of square field = 58m

______________________

$\sf{\bold{\green{\underline{\underline{To\:Find}}}}}$

• Perimeter of square field =?

______________________

$\sf{\bold{\green{\underline{\underline{Solution}}}}}$

$\sf{\red{\boxed{\bold{Perimeter = 4\times sides}}}}$

⠀⠀⠀⠀

$\sf : \implies\:{\bold{ Perimeter = 4\times 58 }}$

⠀⠀⠀⠀

$\sf : \implies\:{\bold{ Perimeter = 232m }}$

______________________

$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

• Priya covers 232 meter .

⠀⠀⠀⠀

$\rm{\huge{\green{\underline{\boxed{Case \: 2 }}}}}$

$\sf{\bold{\green{\underline{\underline{Given}}}}}$

• length of the field = 170 m
• breadth of the field = 120 m

______________________

$\sf{\bold{\green{\underline{\underline{To\:Find}}}}}$

• Perimeter of rectangle field = ??

______________________

$\sf{\bold{\green{\underline{\underline{Solution}}}}}$

$\sf{\red{\boxed{\bold{Perimeter = 2 ( length + breadth) }}}}$

⠀⠀⠀⠀

$\sf : \implies\:{\bold{ Perimeter = 2 ( 170 + 120) m }}$

⠀⠀⠀⠀

$\sf : \implies\:{\bold{ Perimeter = 2\times 290 m}}$

⠀⠀⠀⠀

$\sf : \implies\:{\bold{ Perimeter = 580meter }}$

______________________

$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

• prakash covers 580 meters

____________________________

$\rm{\huge{\green{\underline{\underline{Compare}}}}}$

⠀⠀

580m > 232m

prakash's distance > priya's distance

⠀⠀

Diff. in both the distance = 580 - 232 = 348m

⠀⠀⠀⠀

• Prakash will cover 348 meter more than priya