Question

question 3 of 5
enter the correct answer in the box.
an architect is designing a new building. he makes a model of the building such that the area of the rectangular base is (12x^2 - 11x - 5) and the length is (3x + 1).
what is the width of the model in terms of (x)?

Explanation:

Step1: Recall rectangle area formula

Area = Length × Width, so Width = $\frac{\text{Area}}{\text{Length}}$

Step2: Substitute given expressions

Width = $\frac{12x^2 - 11x - 5}{3x + 1}$

Step3: Factor the quadratic numerator

$12x^2 - 11x - 5 = (3x + 1)(4x - 5)$

Step4: Cancel common factors

Width = $\frac{(3x + 1)(4x - 5)}{3x + 1} = 4x - 5$ (for $3x+1
eq0$)

Answer:

$4x - 5$