SOLUTION: The length of a rectangular playing field is 5 ft less than twice its width. If the perimeter of the playing field is 230 ft, find the length and width of the field.

Question 134199: The length of a rectangular playing field is 5 ft less than twice its width. If the perimeter of the playing field is 230 ft, find the length and width of the field.

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let L=length, W=width

Since "The length of a rectangular playing field is 5 ft less than twice its width", this means that the first equation is

And our second equation is the perimeter formula:

Plug

Distribute

Combine like terms

Add 10 to both sides

Divide both sides by 6

So we know that the width is 40 ft

Now go back to the first equation

Plug in

Simplify

So the length is 75 ft

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