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?

Question

asked Jul 21, 2022 115k views

1 Answer

Bitnick · Answer 1 · 2022-07-27T22:12:00+0000

Answer: 5 in.

Explanation:

Given

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

The side length of the square is
a√(3)

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

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

Thus, value of a is 5 inch