Question

find the area of a square park whose perimeter is 320 m​

Answer 1

Answer:

6400m²

Step-by-step explanation:

Perimeter of the square = 320m

Side of the square = Perimeter ÷ 4

=320m ÷ 4

= 80m

Area of a square (formula) = Side × side

= 80 m × 80 m

= 6400m²

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Answer 2

Given :

• Perimeter of Park = 320m
• Shape of Park = Square

To Find :

• Area of Park

Solution :

✰ As we know that, Perimeter of a Square park is given by 4 × side and Area of Square park is given by side × side .

✰ Now in this question Perimeter is given and we have to find the area. So firstly we will find the side of the park then we will find its Area.

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⠀⠀⠀⠀⠀⠀⠀⠀⠀Lets Do it..!!

⟾ Side of Square Park :

• Perimeter of Park = 4 × side
• 320 = 4 × side
• 320 / 4 = side
• 80m = side

⠀⠀⠀

⟾ Area of Square Park :

• Area of Park = (Side)²
• Area of Park = (80)²
• Area of Park = 80 × 80
• Area of Park = 6400m²

Thus Area of Square Park is 6400m²

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★ Additional Info :

Formulas Related to Square :

• Perimeter = 4 × Side
• Area = Side × Side
• Side of Square = √Area
• Diagonal = √2 × Side
• Area = ½ × (Diagonal)²
• Area = (Perimeter ÷ 4)²

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