Answer is x^2 + 17x - 146
Step by step
We know the pig pen is 6m x 11 m
We want to add the same amount to both length and width, that unknown is “x”
So
( x + 6) (x + 11) will equal 212m
Distribute
x^2 + 17x + 66 = 212
Subtract 212 from both sides to combine like terms
x^2 + 17x -146 is the equation
When you enter that into des-mos , you get
x= 6.273 or x= -23.273.
We know a negative makes no sense so we use 6.273 to check our work
(x + 6) ( x + 11) = 212
(6.273 + 6) ( 6.273 + 11) = 212
12.273 * 17.273 = 212
211.99 = 212
Rounded
212 = 212
Solution is correct
Graph is attached