Length of a rectangular field is 250 m and width is 150 m. Anuradha runs around this field 3 times. How far did she run? How many times should she run around the field to cover a distance of 4 km?
Distance covered in 3 rounds = 2.4 km; Rounds required for 4 km = 5
Step 1: Understand the problem
Length = 250 m, Width = 150 m. One round around the rectangle = its perimeter.
Step 2: Formula for perimeter of a rectangle
( ext{Perimeter} = 2 imes ( ext{Length} + ext{Width}))
Step 3: Substitute the values
( ext{Perimeter} = 2 imes (250 + 150))
(= 2 imes 400)
(= 800 ext{ m})
Step 4: Distance in 3 rounds
( ext{Distance in 3 rounds} = 3 imes 800)
(= 2400 ext{ m})
Step 5: Convert metres to kilometres
(1000 ext{ m} = 1 ext{ km})
(2400 ext{ m} = 2.4 ext{ km})
Answer to first part: She ran 2.4 km in 3 rounds.
Step 6: Rounds needed for 4 km
First convert 4 km to metres: (4 ext{ km} = 4000 ext{ m})
( ext{Number of rounds} = dfrac{4000}{800})
(= 5)
Final answer: She must run 5 rounds to cover 4 km.