Answer:
A. [tex]4x[/tex]
B. [tex]16x[/tex]
C. [tex]16x+20[/tex]
Step-by-step explanation:
A square's area will be the length of each side squared (that's why it's called squared).
Since we know the area, we can find the square root of [tex]16x^2[/tex] to find the length of each side.
We know that [tex]4^2 = 16[/tex] and [tex]x^2 = x^2[/tex], so [tex]4x\cdot 4x[/tex] should be equal to [tex]16x^2[/tex].
This means the side length is [tex]4x[/tex].
The perimeter of a square will be 4 times it's side length. We know the side length, so the perimeter is [tex]4x \cdot 4 = 16x[/tex].
If we added 5 to the length of each side, the new side length would be [tex]4x + 5[/tex]. Again, the perimeter is 4 times the side length so the perimeter would be [tex]4(4x + 5) = 16x + 20[/tex].
Hope this helped!
