Question

18. The length of a rectangular field is twice its breadth. A man jogged around it 5 times and
covered a distance of 3 km. What is the length of the field?​

Answer 1

Answer:

Step-by-step explanation:

Given :-

The length of a rectangular field is twice its breadth.

A man jogged around it 5 times and  covered a distance of 3 km.

To Find :-

Length of the field

Solution :-

Let breadth of field be x m.

length of field = 2x m

A man jogged along the perimeter of field.

⇒ 5 rounds = 5 × 6x = 30x m

⇒ 3000 m = 30x m

⇒ x = 3000/30

⇒ x = 100 m

Breadth = 100 m

Length = 2(100) = 200 m

Answer 2

Question:

The length of a rectangular field is twice its breadth. A man jogged around it 5 times and cover a distance of 3 km. What is the length of the field.

Answer:

The required length of the rectangular field is 200 m or 0.2 km .

Note:

• Rectangle is a parallelogram whose opposite sides are equal and each vertex angle is 90°.
• Perimeter of a polygon is defined as the sum of lengths of its all the sides.
• Perimeter of the rectangle of length "L" and breadth "B" is given by; P = 2( L + B ).
• 1 km = 1000 m.
• 1 m = (1/1000) km = 0.001 km

Solution:

It is given that,

The length of the rectangular field is twice its breadth.

Thus,

Let the breadth(B) of the field is x m

and the length(L) of the field is 2x m.

Also,

It is given that, the man has jogged 5 times of the field and covered a distance of 3 km (ie, 3000 m).

Thus ,

Five times the perimeter is 3000 m.

=> 5•P = 3000

=> 5•2(L + B) = 3000

=> 10(L + B) = 3000

=> L + B = 3000/10

=> L + B = 300

=> 2x + x = 300

=> 3x = 300

=> x = 300/3

=> x = 100

Hence,

Breadth of the rectangular field is x m

ie; 100 m or 0.1 km.

Length of the rectangular field is 2x m

ie; 2•100 m or 200 m or 0.1 km.