Question

the area of a square field is 900m2 . how much time will a girl take to run 10 times around it at the rate of 6 km / h?​

Answer 1

Answer:

Time taken by the girl to run 10 times around it at the rate of 6 km / h is 12 minute.

Step-by-step-explanation:

Given,

Area of the field ( square shaped ) is 900 m^2.

From the properties of square

• Area of square : side^2
• Perimeter of square : 4 x side

Here,

= > Area of the square field = 900 m^2

= > ( length of side )^2 = 900 m^2

= > length of side of the field = 30 m^2 { √{ 900 m^2 } = 30 m, here, it's positive,since length can't be negative }

If a girl runs around the field :

= > Total distance covered by the girl in a round = 4 x ( 30 m ) { there are four sides,each of length 30 m }

= > Total distance covered by the girl in a round = 120 m

= > Total distance covered by the girl in 10 rounds = 10 x 120 m

= > Total distance covered by the girl in 10 rounds = 1200 m = 1.2 km { 1000 m = 1 km }

We know,

• Speed = distance / time

= > Speed = 1.2 km / time taken

= > 6 km / h = 1.2 km / time taken

= > time taken = 1.2 / 6 h

= > time taken = 0.2 h Or 12 min

Hence the

Answer 2

$\Large\underline{\underline{\sf{Given}:}}$

• Area of square field = 900m²

$\Large\underline\mathfrak{Question}$

• How much time will a girl take to run 10 times at the rate of 6km/h .

$\Large\bold\star\underline{\underline\textbf{Formula\:used}}$

• Area of square = side × side
• Area cover by running in one round = perimeter of square = 4 × side
• 1 km = 1000 m
• 1 hour = 60 minutes .

$\Large\underline{\underline{\sf{Solution}:}}$

→ Area of Square given = 900m²

so,

900m² = side × side

→ 900 m² = side²

→ √900 = side

→ side = 30m

So, side of Square is 30 m.

__________________

Now,

Perimeter of square = 4 × side = 4×30 = 120m = Distance cover in one round .

so,

Distance cover in 10 round = 120×10 = 1200m .

______________________

Now,

Given , speed of girl is 6km/h .

that ,means ,

girl cover 6km or 6000m in 1 hour or 60min ....

6000m ---------------- 60min

1m ----------------------- (60/6000)min

1200m ----------------- (1/100) × 1200 = 12 minutes ...

$\red{\textbf{Hence, the girl will cover 10 times}} \\ \green{\textbf{distance in 12 minutes ..} }$

$\large\underline\textbf{Hope it Helps You.}$