Question

The area of the square field is 8464m2

. A man takes 3 rounds of this field. Find the

distance covered by him.​

Answer 1

GIVEN :-

• Area of square field = 8464 m².

TO FIND :-

• The distance covered by the man.

SOLUTION :-

For finding the distance covered by the man firstly we need to find the perimeter of the square field .

As we know that,

⇒ Area of square = 8464 m²

⇒ side × side = 8464 m²

⇒ (side)² = 8464 m²

⇒ side = √8464 m²

⇒ side = 92 m.

Now,

⇒ Perimeter of square = 4 × side

⇒ Perimeter of square = 4 × 92

⇒ Perimeter of square = 368 m.

Now , According to the Question,

⇒ Distance covered by man = 3 × perimeter of square.

⇒ Distance covered by man = 3 × 368 m

⇒ Distance covered by man = 1104 m.

Hence the distance covered by the man in three rounds is 1104 m.

Answer 2

♣ Question

• The area of the square field is 8464m². A man takes 3 rounds of this field. Find the  distance covered by him.​

♣ Given

• Area of the square field = 8464m²
• No. of rounds man takes around the field = 3

♣ To Find

• Distance Covered by Man

♣ Answer

• Distance covered by man = 1104 m

♣ Calculations

We know :

• Area of Square = Side × Side

Area of Square = 8464m²

⇒ Side × Side = 8464m²

⇒ (Side)² = 8464m²

Taking root on both Sides

⇒ √(Side)² = √(8464m²)

⇒ Side = √(8464m²)

⇒ Side = 92 m

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And, Perimeter of Square is given by :

• Perimeter of Square = 4 × Side

Perimeter of Square = Side + Side + Side + Side

⇒ Perimeter of Square = 4 × Side

⇒ Perimeter of Square = 4 × 92 m

⇒ Perimeter of Square = 368 m

Distance covered by man = 3 × Perimeter of Square

⇒ Distance covered by man = 3 × 368 m

⇒ Distance covered by man = 1104 m