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 $2ell + 2w$? 21. higher order thinking explain why the expression you wrote in exercise 20 may be easier to use than $2ell + 2w$.

Explanation:

Step1: Recall the distributive property

The distributive property is \(a(b + c)=ab+ac\). In reverse, \(ab + ac=a(b + c)\).

Step2: Identify common factor

For the expression \(2\ell+2w\), the common factor is \(2\).

Step3: Apply the distributive property

Using the reverse of the distributive property, we can write \(2\ell+2w = 2(\ell + w)\)

Answer:

\(2(\ell + w)\)