The area of a square field is 132.25 square km. If a man runs around the field three times, what is the distance travelled by him?
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Answer:
Area of square = (side)^2 = 132.25
side = (132.25)^(1/2) = 11.5
perimeter of square = 4 × side = 11.5 × 4 = 46
Now man runs 3 times around the square feild, i.e 3 time around the perimeter = 46 × 3 = 138
So, answer is 138 km
Explanation:
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Solution :-
★ Area of square field = a²
⇒ a² = 132.25
⇒ a = √132.25
⇒ a = 11.5
Side of square field is 11.5 km
Now
★ Perimeter of square park = 4 × side
⇒ 4 × 11.5
⇒ 46
Perimeter of square field is 46 km
Man run 3 times around field. So , multiply this perimeter by 3.
⇒ 3 × 46
⇒ 138
Man travelled a distance of 138 km
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