Question

#1. Joseph wants to find the side length of a square that has an area of 150
feet. Should his answer be rational or irrational? Explain your reasoning."

Answer 1

Answer:

The answer is irrational

Step-by-step explanation:

we know that

The area of a square is given by the formula

$A=b^2$

where

b is the length side of the square

In this problem we have

$A=150\ ft^2$

substitute in the formula

$b^2=150$

take the square root both sides

$b=\sqrt{150}\ ft$

simplify

$b=5\sqrt{6}\ ft$

Remember that

A Rational Number is a number that can be made by dividing two integers

so

The length side is not a integer

therefore

The answer is irrational