The area of a square field is 49 m. How many times kavya has to run has to run around it to cover 224 m.

The correct answer is: kavya has to run 8 times around the given field to cover 224 m.

Hint:-
i. Perimeter of a square = 4 × side
ii. Area of a square = (side)2
Step-by-step solution:-
Area of a square = side2
∴ Area of the given squarical field = side2
∴ 49 = side2
∴ side = 7m ............................. (Taking square root both the sides) ............................. (Equation i)
We are given that Kavya has to run around the field to cover 224 m
∴ She is running on the boundary of the field.
Hence, we need to calculate the perimeter of the given field
We know that-
Perimeter of a square = 4 × sides
∴ Perimeter of the given squarical field = 4 × sides
∴ Perimeter of the given squarical field = 4 × 7 ..................................................................................................... (From Equation i)
∴ Perimeter of the given squarical field = 28 m
i.e. Distance covered in one round around the field = 28 m .................................................................................... (Equation ii)
Total distance covered by Kavya = Distance travelled in one round × number of rounds
∴ 224 = Distance travelled in one round × number of rounds ........................................ (From given information)
∴ 224 = 28 × number of rounds ........................................ (From Equation ii)
∴ 224 / 28 = number of rounds
∴ 224 / 28 = number of rounds
∴ 8 = number of rounds
kavya has to run 8 times around the given field to cover 224 m.