The area of a square is 5 times bigger than its perimeter when measured in centimeters. How long is each side of the square?

Answer 1

A=S^2

P=4S

5(4S)=S^2

S^2 -20S = 0

S(S-20) = 0

S=0 or 20

20 cm = length of each side of the square

you could also say 0 cm = length of each side of the square, but that's a "degenerate" "square" with Area=0 and Perimeter =0 0 =5(0)

Area = 400 cm^2

Perimeter = 4(20) = 80 cm

5x 80 = 400