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.

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