A rectangle has an area of x^2 - 6x - 7 and a width of x-7 what's the length

x+1

Step-by-step explanation:

We know that x^2 - 6x-7 is the product of two binomials.

We can solve this two ways, but the easier way is to simply factor rather than divide the area by width.

Two numbers, one of which being - 7 allows for the sum of - 6 and the product of - 7.

Using this information, we can identify the other number is 1, so the length is x+1.