Question 179283
6*8=48 is the area of the rectangle.
(6+2x)(8+2x)=48+33
48+16x+12x+4x^2=81
4x^2+28x+48-81=0
4x^2+28x-33=0
Using them quadratic equation{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}} we get:
x=(-28+-sqrt[28^2-4*4*-33])/2*4
x=(-28+-sqrt[784+528)/8
x=(-28+-sqrt1312)/8
x=(-28+-36.22)/8
x=(-28+36.22)/8
x=(8.22)/8
x=1.0277
Proof:
(6+2*1.0277)(8+2*1.0277)=81
(6+2.055)(8+2.055)=81
8.055*10.055=81
81~81