The area of shape is the amount of space it covers.
The length of the square is: 85 inches
From the question, we have:
[tex]Area = 7225[/tex]
The area of a square is:
[tex]Area =Length^2[/tex]
Take square roots of both sides
[tex]\sqrt{Area} =Length[/tex]
Rewrite as:
[tex]Length = \sqrt{Area}[/tex]
Substitute 7225 for Area
[tex]Length = \sqrt{7225}[/tex]
The prime factors of 7225 are: [tex]5,5,17,17[/tex]
So, we have:
[tex]Length = \sqrt{5 \times 5 \times 17 \times 17}[/tex]
Express as squares
[tex]Length = \sqrt{5^2 \times 17^2}[/tex]
Split
[tex]Length = \sqrt{5^2} \times \sqrt{17^2}[/tex]
Evaluate each exponent
[tex]Length = 5 \times 17[/tex]
[tex]Length = 85[/tex]
Hence, the length of the square is: 85 inches
Read more about prime factors at:
https://brainly.com/question/10371102
