Question

A boy is cycling along a square field at the speed of 18 km/hr. In how much time will he complete 5 rounds if the area of square field is 9604 m?​

Answer 1

Answer:

      time = 382 seconds

Step-by-step explanation:

Area of the square = side² = 9604 m²

side² = 9604 m²

side = √9604 m²

side = 98 m

perimeter of square = 4 × 98m = 382m

total distance travelled = 5 × 382 = 1910m

speed = 18 km/hr = 18 × 5 / 18 m/s = 5m/s

time = distance / speed

time = 1910 / 5

time = 382 seconds

Answer 2

Given :-

Speed = 18 km/h

Area = 9604 m

To Find :-

In how much time will he complete 5 rounds

Solution :-

At first we will find the side of square. The side of sqaure formula is

${\boxed{\red{\underline{\mathfrak{Side = \sqrt{Area}}}}}}$

$\sf \implies Side = \sqrt{9604}$

$\sf\implies Side = 98\;m$

We need to find perimeter of field. The perimeter of square is

${\boxed{\blue{\underline{\mathfrak{Perimeter = 4 \times Side}}}}}$

$\sf\implies Perimeter = 4 \times 98$

$\sf\implies Perimeter = 392 \; m$

Now, Distance covered in 5 rounds

${\boxed{\pink{\underline{\frak{Distance\;covered = Perimeter \times 5}}}}}$

$\sf\implies Distance \;covered = 392\times 5$

$\sf\implies Distance \; covered = 1960 \;m$

Conversion of unit

${\boxed{\pink{\underline{\frak{1 km/h = \dfrac{5}{18}\;m/s}}}}}$

$\sf\implies 18 \; km/h = 18\times \dfrac{5}{18} m/s$

$\sf\implies 18 \; km/h = 5 \; m/s$

${\boxed{\red{\underline{\frak{Time = \dfrac{Distance}{Speed}}}}}}$

$\sf\implies Time = \dfrac{1960}{5}$

$\sf\implies Time = 392 \; sec \;$