Question

The area of a rectangular field is 2592 sq. m and its length is 54 m. A boy runs around it at the rate of 4km/hr. How long will he take to go 5times around it?

Answer 1

$area = 2592 {m}^{2} \\ length = 54m \\ area = l \times b \\ = 2592 = 54 \times b \\ = b = 2592 \div 54 \\ = b = 48m \\ perimeter = 2(l + b) \\ = 2(54 + 48) \\ = 2 \times 102 \\ = 204m =0. 204km$
speed: 4km/hr

$time = distance \div speed \\ = 0.204 \div 4 = 0.051hr = 0.015 \times 3600 = 183.6km \times 5 = 918km$

Answer 2

He will take 0.255 hours to go 5 times around it.

Step-by-step explanation:

Area of rectangular field = 2592 sq.m.

Length = 54 m

Area of rectangular field = $Length \times Breadth$

So,$Length \times Breadth = 2592\\54 \times Breadth = 2592\\Breadth = \frac{2592}{54}$

Breadth = 48 m

Perimeter of field =2(l+b)=2(54+48)=204 m

So, Distance traveled in 1 round = 204 m

Distance traveled in 5 rounds = 204 \times 5 =1020 m

1000 m = 1 km

1020 m = 1.02 km

Speed of boy = 4 km \hr

$Time = \frac{Distance}{Speed}\\Time = \frac{1.02}{4}=0.255$

Hence he will take 0.255 hours to go 5 times around it.

#Learn more:

The area of a rectangular field is 3584msq and it's length is 64m. A boy runs around the field at a rate of 6km/h. How long with he take to go 5times around it?

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