Question

13 a rectangle has side lengths of $(3x - 2)$ and $(2x + 2)$. write an expression in standard form that
a $6x^{2}+2x - 4$
b $5x^{2}+2x - 4$
c $6x^{2}-2x + 4$
d $5x^{2}-2x - 4$

Explanation:

Step1: Use the formula for the area of a rectangle

The area of a rectangle \(A = l\times w\), where \(l=(3x - 2)\) and \(w=(2x + 2)\). So \(A=(3x - 2)(2x + 2)\).

Step2: Apply the FOIL method

$$
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$$

Step3: Combine like terms

\(6x^{2}+(6x-4x)-4=6x^{2}+2x - 4\)

Answer:

A. \(6x^{2}+2x - 4\)