Question

use the rectangle shown to answer the question.
what is the area of the rectangle?
○ 5x + 2
○ 10x + 4
○ 4x² + 17x - 15
○ 4x² + 23x - 15

Explanation:

Step1: Use the area formula of a rectangle

The area formula of a rectangle is \(A = length\times width\). Here, \(length=(4x - 3)\) and \(width=(x + 5)\). So \(A=(4x - 3)(x + 5)\).

Step2: Expand the product

Use the FOIL method: \((a + b)(c + d)=ac+ad+bc+bd\).

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Answer:

\(4x^{2}+17x - 15\) (the second option)