The perimeter of a rectangle can be found using the equation P = 2L + 2W, where P is the perimeter, L is the length, and W is the width of the rectangle.
Solve the equation for the variable w
When you have done that
state the value of 'w' if the perimeter of the rectangle is equal to 37 feet and the length is equal to 4 feet.
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Answer:

14.5 feet

Step-by-step explanation:

To make  subject as 'w' and solving:

     To make the subject as 'w', isolate w.

  • To isolate 'w', subtract 2L from both sides .

              2L + 2W =P

                      2W = P - 2L

  • Now, divide both sides by 2.

                        [tex]\sf W = \dfrac{P-2L}{2}\\\\W =\dfrac{P}{2}-\dfrac{2L}{2}\\\\ \boxed{W = \dfrac{P}{2}-L}[/tex]

   P = 37 feet

   L = 4 feet

           [tex]\sf W =\dfrac{37}{2}-4\\\\[/tex]

                = 18.5 - 4

           W = 14.5 feet

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