Find the area of a square park whose perimeter is 320 m.
A square has four equal sides. The perimeter of a square equals 4 times its side length, whereas the area of a square equals the square of its side length.
Answer: The area of a square park whose perimeter is 320 m is 6400 m2.
Let's find the side of the square using the perimeter formula and then the area.
Given : Perimeter of the square park = 320m
We know that,
Perimeter of a square = 4 × side
⇒ 4 × side = 320
⇒ side = 320/4
⇒ side = 80m
Area of a square = side2
Hence, Area of the square park = 802 = 80 × 80 = 6400m2
Thus, the area of a square park whose perimeter is 320 m is 6400m2.