Question

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?

Answer 1

Answer: 5 in.

Step-by-step explanation:

Given

The area of the square is $75\ in.^2$

The side length of the square is $a\sqrt{3}$

Area of square$=(\text{length})^2$

$\therefore 75=(a\sqrt{3})^2\\\Rightarrow 75=3a^2\\\Rightarrow a^2=25\\\Rightarrow a=5\ in.$

Thus, value of a is 5 inch