x 2 + 7x + 12. Factor the trinomial to find the length and width of the rectangle.

The factor is

(x + 4) (x + 3)

x + 4 = 0 x + 3 = 0

x = -4 x = -3

\(x ^2 + 7x + 12\\ =x^2+3x+4x+12\\=x(x+3)+4(x+3)\\\color{blue}=(x+3)(x+4)\)

The length of the rectangle is 4 units.

The width of the rectangle is 3 units.

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