Problema Solution

the numerical value of the area of a square is 36 less than 3 times the numerical value of its perimeter. what is the perimeter of the square?

Answer provided by our tutors

let 'x' be the numerical value of the side of the square and x>=0


the are of the square is


A = x^2


the perimeter of the square is


P = 4x


the numerical value of the area of a square is 36 less than 3 times the numerical value of its perimeter


A = 3*p - 36


x^2 = 3*4x - 36


x^2 - 12x + 36 = 0


by solving the quadratic equation we find


x = 6


the perimeter is P = 4x = 4*4 = 16


the numerical value of the perimeter of the square is 16.