Question

the length of a rectangular field is twice its breadth a man jogged around it 4 time covered a distance of 6 km what is the length of the field​

Answer 1

Solution:- Let the Breadth of rectangular field be $x$ km.

then, Length of rectangular field = 2$x$ km.

Man jogged around it 4 times and covered 6 km.

According To The Question:-

⇒ 4( Perimeter of rectangular field ) = 6 km

⇒ 4 [ 2(2$x$ + $x$) ] = 6 km

⇒ 4 [ 2 × 3$x$ ] = 6 km

⇒ 4 × 6$x$ = 6 km

⇒ 24$x$ = 6 km

⇒ $x$ = $\frac{6}{24}$ km

⇒ $x$ = $\frac{1}{4}$ km  or  0.25 km

∴ Length of rectangular field = 2 × $\frac{1}{4}$ km = $\frac{1}{2}$ km  or  0.5 km    Answer

To convert Kilo meter into Meter:-

1 km = 1000m

0.5 km = 0.5 ×1000 m

            = 500 m  

Answer 2

★ Given:

The length of a rectangular field is twice its breadth.

A man jogged around it 4 times.

The distance covered is 6 km. [6000 m]

★ To Find:

The length of the field.

★ Solution:

Let the breadth of the field by x.

Length of the field = 2x

It is given that a man covered a distance of 6 km when he ran around this field 4 times.

Formula to find perimeter of field = 2 (l + b)

$\sf{\boxed{We\:can\:take\:the\:distance\:\:6km\:as\:6000\:m}}$

Forming an equation from the given statements:

4 x2 (l + b) = 6000 m

8 x (l + b) = 6000 m

→ Now we can substitute the values of l and b.

8 x (2x + x) = 6000 m

8 x 3x = 6000 m

24x = 6000 m

x = 6000/24

x = 250 m

Length = 2x = 2 x 250 = 500 m

Hence the length of the rectangular field is 500 m.

★ Verification:

We can substitute the values of the length and breadth in the formula. If we get the correct distance as said in the question, our answer is correct.

Length = 500 m

Breadth = 250 m

Formula

= 4 x 2 (l + b)

Substituting the values:

4 x 2 (500 + 250)

= 8 x 750

= 6000 m

LHS = RHS

Hence Verified!