Acertain rectangle has an area of x^2+7x+12. factor the trinomial to find the length and width of the rectangle. ( show the steps for working this out)

(x + 3)(x + 4)

Step-by-step explanation:

To factor the trinomial

Consider the factors of the constant term ( + 12) which sum to give the coefficient of the x- term ( + 7)

The factors are + 3 and + 4, since

3 × 4 = 12 and 3 + 4 = 7, hence

x² + 7x + 12 = (x + 3)(x + 4)

Thus length can be x + 3 or x + 4 and

the width can be x + 4 or x + 3