Question

if 48 square inches are substacted for the area of a square table the resut would be equal to twice the peremiter. what is the legth of the side of the table

Answer 1

Let the side of the square table = x inch
then its perimeter = 4*side = 4*x = 4x inch
area = side*side = x*x = x^2 sq.inch
ATQ, x^2 - 48 = 2(4x)
x^2 - 48 = 8x
x^2 - 8x - 48 = 0
x^2 - 12x + 4x - 48 = 0
x(x - 12) + 4(x - 12) = 0
(x + 4)(x - 12) = 0
so
if x + 4 = 0 then x = -4
if x - 12 = 0 then x = 12

since length can never be negative, hence x = 12 is the acceptable value
Hence the length of the side of the square table is 12 inch