sandra061919 sandra061919
  • 18-10-2021
  • Mathematics
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2. The area of a square is 72 sq in. What is its side length?

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jtm2588
jtm2588 jtm2588
  • 20-10-2021

Answer:

[tex]6 \sqrt{2} [/tex]

if you don't have to simplify it, it is

[tex] \sqrt{72} [/tex]

Step-by-step explanation:

the equation for the area of a square is

[tex]a = {s}^{2} [/tex]

substitute 72 for a

[tex]72 = {s}^{2} [/tex]

take the square root of both sides to cancel out the square on the s

[tex] \sqrt{72} = \sqrt{ {s}^{2} } [/tex]

[tex] \sqrt{72} = s[/tex]

if you need it simplified, find the perfect square that makes up 72. It is 36.

[tex] \sqrt{36 \times 2} = s[/tex]

take the square root of 36

[tex]6 \sqrt{2} = s[/tex]

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