Question

A square garden plot has an area of 75 ft^2. Find the length of each side in simplest radical form. Calculate the length of each side to the nearest tenth of a foot..

Answer 1

Hello.


The area of a square is calculated by the formula:

A = l²

As A = 75 ft², we have:

75 = l² 

l = √75

Now, note that: 75 = 3 . 25 = 3 . 5²

So:

l = √(3 . 5²) = √3 . √(5²)

l =  5√3 ft


Now, we can assume √3 = 1.73

l ≈ 5 * 1.732

l ≈ 8,7 ft   (Note that I have already put it in the nearest tenth)


OK :)