Question

the length of a rectangular field is twice its breadth Arun jogged around it three times and cover a distance of 5.4 km find the length and breadth of the field​

Answer 1

Step-by-step explanation:

Let the breadth of rectangular field be x m.

Therefore, length = 2x m

In one round of jog Arjun will cover a distance equal to the Perimeter of the field, so in 3 rounds he will cover the distance 3 times of Perimeter.

Hence,

$3 \times 2(2x + x) = 5.4 \: km \\ 6(3x) = 5400 \: m \\ 18x = 5400 \\ x = \frac{5400}{18} \\ x = 300 \\ \therefore \: 2x = 2 \times 300 = 600 \\ hence \\ length \: of \: field \: = 600 \: m \\ breadth \: of \: field \: = 300 \: m$

Answer 2

The length and breadth of the field​ are 0.6 km and 0.3 km respectively .

Step-by-step explanation:

Let the breadth of rectangular field be x

We are given that the length of a rectangular field is twice its breadth

So, Length = 2x

Perimeter of rectangular field = 2(Length+Breadth)=2(2x+x)=6x

We are given that Arun jogged around it three times and cover a distance of 5.4 km

So, $3(6x)=5.4$

$18x=5.4$

$x=\frac{5.4}{18}$

$x=0.3$

Breadth of rectangular field = 0.3 km

Length of rectangular field = 2x=2(0.3)=0.6 km

Hence the length and breadth of the field​ are 0.6 km and 0.3 km respectively .

#Learn more:

The length of the rectangular field is twice its breadth . Meghna jogged around it 5 times and covered a distance of 3 km what is the length of the field

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