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select the correct answer. the formula ( p = 2(l + w) ) relates the per…

Question

select the correct answer.
the formula ( p = 2(l + w) ) relates the perimeter ( p ), in decimeters, with the length and width of a rectangle.
solve the formula for ( w ).
( w=\frac{p}{2}+l )
( w = 2p + l )
( w = 2p - l )
( w=\frac{p}{2}-l )

Explanation:

Step1: Divide both sides by 2

$$\frac{p}{2}=l + w$$

Step2: Subtract \(l\) from both sides

$$\frac{p}{2}-l=w$$

Answer:

\(w=\frac{p}{2}-l\) (the fourth option)