The area of a rectangle is found by multiplying the length by the width: A = lw. A certain rectangle has an area of x2 + 7x + 12.

Factor the trinomial to find the length and width of the rectangle.

l = x + 6; w = x + 2

l = x + 5; w = x + 7

l = x + 4; w = x + 3

Since it is given that the formula for area is length times width and the area is already given, we are going to find out the value of the width and the length by factoring. The first thing we are going to do is to find first the factors of 12. The factor that can be used for this are 4 and 3. Then, continue with the solution.

So the correct answer for this would be the last option. l = x + 4; w = x + 3.