Question

Find the length of a side of a square whose perimeter and
area have the same value.

help?
perimeter of a square is P=4s & the area of a square is A=s^2

Answer 1

so you know
s^2 = 4s
s^2 - 4s = 0
s(s-4) = 0
s = 0 or s=4

So the side is 4 units

check:
area = 4^2 = 16
per. = 4(4) = 16

Answer 2

Why did you stop? You were on the right track but forgot to make use of the most important piece of information given.

The perimeter of a square of side "s" is P=4s.

The area of the same square is A = s^2.

Find the length of a side of a square whose perimeter and area have the same value.

P = A = 4s = s^2

Can you take it from here?