Question

The length of a rectangular field is twice its breadth. A girl jogged around it 4 times and covered a distance of 4.5 km. What are the length and breadth?

Answer 1

Answer:

The length of a rectangular field is $375$ m and the breadth of a rectangular field is $187.5$ m.

Step-by-step explanation:

Given: The length of a rectangular field is twice its breadth. A girl jogged around it $4$ times and covered a distance of $4.5$ km.

To Find: The length and breadth of a rectangular field.

Solution: Let the length of a rectangular field be $2x.$ So, the breadth of a rectangular field will be $x.$

Perimeter of the ground i.e. (distance covered in $1$ round) $= 2(l+b)$

                                                                                                $= 2(2x+x)$

                                                                                                $= 6x$

Therefore, distance covered in $1$ round is $6x.$

So, Distance covered in $4$ rounds $= 4\times(6x)$

                                                        $=24x$

Since, the distance covered given is $4.5$ km or $4500$ m,

Therefore, $24x=4500$ m

                      $x= \frac{4500}{24}$

                      $x=187.5$ m

Now, the length $l = 2x$

                           $l = 2\times187.5$ m

                           $l = 375$ m or $0.375$ km

Hence, The length of a rectangular field is $375$ m and the breadth of a rectangular field is $187.5$ m.

Answer 2

Answer:

The length of a rectangular field is 375375 m and the breadth of a rectangular field is 187.5187.5 m.

Step-by-step explanation:

Given: The length of a rectangular field is twice its breadth. A girl jogged around it 44 times and covered a distance of 4.54.5 km.

To Find: The length and breadth of a rectangular field.

Solution: Let the length of a rectangular field be 2x.2x. So, the breadth of a rectangular field will be x.x.

Perimeter of the ground i.e. (distance covered in 11 round) = 2(l+b)=2(l+b)

= 2(2x+x)=2(2x+x)

= 6x=6x

Therefore, distance covered in 11 round is 6x.6x.

So, Distance covered in 44 rounds = 4\times(6x)=4×(6x)

=24x=24x

Since, the distance covered given is 4.54.5 km or 45004500 m,

Therefore, 24x=450024x=4500 m

x= \frac{4500}{24}x=

24

4500

x=187.5x=187.5 m

Now, the length l = 2xl=2x

l = 2\times187.5l=2×187.5 m

l = 375l=375 m or 0.3750.375 km

Hence, The length of a rectangular field is 375375 m and the breadth of a rectangular field is 187.5187.5 m.