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The area of a square is 75 inches squared. A student correctly wrote the length of each side of the square as a√3. What is the value of a?

Sagot :

Answer: 5 in.

Step-by-step explanation:

Given

The area of the square is [tex]75\ in.^2[/tex]

The side length of the square is [tex]a\sqrt{3}[/tex]

Area of square[tex]=(\text{length})^2[/tex]

[tex]\therefore 75=(a\sqrt{3})^2\\\Rightarrow 75=3a^2\\\Rightarrow a^2=25\\\Rightarrow a=5\ in.[/tex]

Thus, value of a is 5 inch

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