20. choose efficient methods the formula for the perimeter of a rectangle is $2ell + 2w$, where $ell$ is the…

20. 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 $2ell + 2w$?

20. 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 $2ell + 2w$?

Answer

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))