Answer:
(x+1)(x+30)
Explanation:
Area is equal to length * Width so you have to find what two expressions multiplied together equal the quadratics equation.
There are several ways to do this, but i would recommend factoring the expression. To do so, find factors of the third term that when added, equal the second term.
In this scenario
X^2 + 31x + 30
find factors of 30:
1,30
2,15
3,10
5,6
In this scenario it is clear that 1 and 30 are the two factors that equal 31
the final answer would be written as
(x+1)(x+30)
and when these two terms are multiplied out together you get your initial area