Question

1. enter the algebraic expression for the area of the rectangle with side lengths of 13 and 5a.

• refer to the last page of your notesheet for an example of writing an algebraic expression for the area of a rectangle.
• show any work you used to write the algebraic expression for the area in simplest form.

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, the length is \(13\) and the width is \(5a\). So, \(A=13\times5a\).

Step2: Simplify the expression

Using the commutative property of multiplication (\(a\times b = b\times a\)) and the rule for multiplying constants (\(m\times n=mn\)), we have \(13\times5a=(13\times5)\times a\). Since \(13\times5 = 65\), the simplified expression is \(65a\).

Answer:

\(65a\)