If the area is x^2+5x+6m^2 and we know the area is a square which is base times height, we can factor the equation so that it comes out to (x+3)(x+2)since the height is x+3 then we know the base is x+2. (is this correct)

Answer 1

your figure cannot be a square, since the base and the height is not the same.

your math is correct, since
(x+3)(x+2) = x^2+5x+6 (I assumed the 6m^2 was a typo)

are you sure it did not say 'rectangle' ?

Answer 2

Thank you!!