SOLUTION: I am working on a problem that I need some help on. Here it is: Geometry. The length of a rectangle playing field is 5 ft. less than twice its width. If the perimeter of the playi

Question 112185: I am working on a problem that I need some help on.
Here it is: Geometry. The length of a rectangle 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.
What I have so far is this equation; 2x+2(2x-5)=230?
Am I off to a good start here or not getting it? Thank you for your help.
Barb Neely
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
You're off to a great start. Now you just need to solve for x

Start with the given equation

Distribute

Combine like terms on the left side

Add 10 to both sides

Combine like terms on the right side

Divide both sides by 6 to isolate x

Divide

--------------------------------------------------------------
Answer:
So our answer is

So this means the width is 40. Now take and plug it into

So the length is 75

Check:

Start with the given perimeter formula

Plug in P=230, W=40, and L=75

Multiply

Add. Since both sides of the equation are equal, our answer is verified.

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