answer:
x = 13.9
explanation:
area of rectangle: length * width
Here the length is [ x + 12 ] and width [ x ]
solve:
- 360 = ( x + 12 ) ( x )
- 360 = x² + 12x
- x² + 12x - 360 = 0
- x² + 12x - 360 = 0
using quadratic formula:
- [tex]x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
- [tex]x = \dfrac{ -12 \pm \sqrt{(12)^2 - 4(1)(-360)}}{2(1)}[/tex]
- [tex]x = -6+6\sqrt{11}[/tex] , [tex]x = -6-6\sqrt{11}[/tex]
- [tex]x = 13.9[/tex] , [tex]x = -25.9[/tex]
As length can never be negative:
x = 13.9
