Question

6. The area of a square field is 60025 m². A man cycles along its boundary and takes 6 rounds of it. Find the total distance covered by him​

Answer 1

Correct Question :-

The area of a square field is 60025 metre. a man cycles along its boundary at 18 km/h and takes 6 rounds in how much time will he return to starting point?

Answer :-

$\sf \: Area \: of \: square \: field = 60025 {m}^{2}$

$\sf \: Area \: of \: square = {(side)}^{2}$

Hence,

$\implies\sf \: 60025 = {(side)}^{2} \\ \implies\sf \: \sqrt{60025} = (side) \\ \implies\sf \: side = 245$

A man cycles along the boundary of field(given).

$\sf \: Perimeter \: of \: the \: square \: field : - \\ \sf\implies \: 4 \times side \\ \sf\implies \: 4 \times 245 \\ \sf\implies \: 980m$

$\sf \: Speed : - \\ \sf :\implies \: 18km/h \\ \sf :\implies \:18 \times \frac{5}{6} \\ \sf :\implies \:15$

$\sf \: Time = \frac{distance}{speed} \\ \sf \implies \: \frac{980}{15} \\ \sf \implies \: 65.3$

Answer 2

$\sf{\huge{\bold{\pink{\bigstar{\boxed{\boxed{Question}}}}}}}$

• The area of a square field is 60025 m². A man cycles along its boundary and takes 6 rounds of it. Find the total distance covered by him.

$\sf{\huge{\bold{\pink{\bigstar{\boxed{\boxed{Solution}}}}}}}$

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

• Area of the field = 60025 m²
• Total rounds = 6

$\sf{\bold{\blue{\underline{\underline{To\:find}}}}}$

• Total distance covered = ????

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

$\sf{\bold{\red{\boxed{area = side\times side }}}}$

$\sf{60025 = side\times side}$

$\sf{side = \sqrt{60025}}$

$\sf{side = 245 m}$

• distance covered = perimeter

$\sf{\bold{\red{\boxed{perimeter = 4\times side}}}}$

$\sf{distance \: covered = 4\times 245 }$

$\sf{distance \:covered = 980 m}$

• applying unitary method

Dis. cov. in one round = 980 m

Dis. cov. in 6 rounds = 6 x 980 m

Dis. cov. in 6 rounds = 5880m

Total dist. covered = $\sf{\bold{\orange{\boxed{5880meter }}}}$

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