Question

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

Answer 1

Answer:

Perimeter is irrational

Step-by-step 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

$\sqrt{24200} = Length$

$Length = 155.563492$

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