Question

1. choose efficient methods the formula for the perimeter of a rectangle is $2ell + 2w$, where $ell$ is the length and $w$ is the width. how can you use the distributive property to write an equivalent expression for $2ell + 2w$?

Explanation:

Step1: Identify the common factor

The common factor of \(2\ell\) and \(2w\) is \(2\).

Step2: Apply the Distributive Property

The Distributive Property is \(a(b + c)=ab+ac\). In reverse, \(ab + ac=a(b + c)\). Here \(a = 2\), \(b=\ell\), and \(c = w\). So \(2\ell+2w=2(\ell + w)\)

Answer:

\(2(\ell + w)\)