The length of a rectangular field is twice its breadth. Jamal jogged around it four times and covered a distance of 6 km. What is the length of the field?
Length of the field = 500 m
Step 1: Define the breadth.
Let the breadth be ( b ) metres.
Step 2: Use the given relation.
Length is twice the breadth, so length ( = 2b ) metres.
Step 3: Perimeter of a rectangle.
Perimeter ( = 2( ext{length} + ext{breadth}) ).
So, perimeter ( = 2(2b + b) ).
Perimeter ( = 2(3b) = 6b ) metres.
Step 4: Distance for four rounds.
One round = perimeter ( = 6b ) metres.
Four rounds ( = 4 imes 6b = 24b ) metres.
Step 5: Use the total distance given.
Jamal covered ( 6 ) km in four rounds.
Convert to metres: ( 6 ext{ km} = 6000 ext{ m} ).
So, ( 24b = 6000 ).
Step 6: Solve for ( b ).
( b = dfrac{6000}{24} = 250 ) metres.
Step 7: Find the length.
Length ( = 2b = 2 imes 250 = 500 ) metres.
Answer: The length of the field is 500 m.