Question

A square has a side length L. Suppose the side length of the square is increaed such that the area of a square triped in size. What is the value of the new side length, Lnew in terms of L

Answer 1

the new side length L₂ will be L₂ =√3 * L₁ , where L₁ represents the initial side length

Explanation:

If the square had initially a side length L₁ then the initial area is A₁=L₁² . After the length increases such that the area triples in size , then the final are A₂ will be

A₂ = 3* A₁ , and A₂ = L₂²

then

A₂ = 3* A₁

L₂² = 3* L₁²

L₂ = √(3* L₁² ) = √3 * L₁

L₂ =√3 * L₁