The area of a square is 5 more than 4 times the length of a side. the length of a side of the square

Question

please help me solve

Answer 1

If the side of the square is length x, then the area of the square=x².

Numerically this area is also 4x+5 so x²=4x+5, x²-4x-5=0=(x-5)(x+1), making x=5 (the side cannot be a negative length).

So the area of the square is 25 (square units). 5 more than the length of 4 times the length of the side=4x+5=20+5=25 (units).