Question

The park shown is in the shape of a square. Is the perimeter rational or irrational? Area = 24,200 yd 2

Answer 1

Perimeter is irrational

Explanation:

The attachment is missing but the question is still answerable

Given

`Area = 24200 yd^2`

Required

Determine if the Perimeter is rational or not

First, we need to determine the sides of the square;

`Area = Length * Length`

Substitute
`Area = 24200 yd^2`

`24200 = Length * Length`

`24200 = Length^2`

Take Square root of both sides

`√(24200) = Length`

`Length = 155.563492`

The perimeter of a square is calculated as:

`Perimeter = 4 * Length`

`Perimeter = 4 * 155.563492`

`Perimeter = 622.253968`

Because the value of perimeter can't be gotten by dividing two integers, then perimeter is irrational