Question

b. what expression describes the area of a rectangle with a length of (5x + 2) cm and a width of (3x - 4) cm? write your answer in simplified, standard form. area = cm² clear all

Explanation:

Step1: Recall the area formula for a rectangle

The area \(A\) of a rectangle is given by \(A = \text{length}\times\text{width}\). Here, length \(l=(5x + 2)\) and width \(w=(3x-4)\). So, \(A=(5x + 2)(3x - 4)\).

Step2: Use the FOIL method

$$
LATEXBLOCK0
$$

Step3: Combine like terms

Combine the \(x\) - terms: \(-20x+6x=-14x\). So the expression becomes \(15x^{2}-14x - 8\).

Answer:

\(15x^{2}-14x - 8\)