Ask AI: A rectangle has an area of A= (x-3)(x^2+10x+21) . Determine the width, where the area is A= l w, and the length is (x^2-9)

In the formula for the area of a rectangle, A = l * w, you provided A = (x-3)(x^2+10x+21) as the total area and (x^2-9) as the length (l). We can equate the two expressions for the area A to find the width (w): Therefore: l * w = (x-3)(x^2+10x+21) Substituting the given length into the equation, we get: (x^2 - 9) * w = (x-3)(x^2+10x+21) To solve for w, we must isolate the w term: w = [(x-3)(x^2+10x+21)] / (x^2 - 9) This is the expression for the width of the rectangle. Note that it is undefined for x = -3, 3 because division by zero would occur, which is mathematically undefined.