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.

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Question 120465This question is from textbook
: 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.This question is from textbook

Answer by Caallen2(9) About Me  (Show Source):
You can put this solution on YOUR website!
Equation for perimeter: P = 2*length + 2*width

Let width = x and length = 2x - 5

P: 2(2x-5) + 2*x = 230

Use distributive property

4x - 10 + 2x = 230

Add 10 to both sides of equation and combine like terms.

6x = 240
Divide both sides by 6

x = 40
substitute 40 for x in equation for length 2x - 5

length = 2(40)- 5

= 80-5
= 75

So width = 40 and length = 75