Solve For x 2x + 2(2x – 5) = 230?

Question

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.

Formula: P = 2W + 2L

Answer 1

x is the width, and 2x-5 is the length
multiply everything out, 2x + 4x - 10=230
6x = 240

x=40 (width)
2x-5= 75 (length)

check the answer in the formula
2(40) + 2(75)= 230

Answer 2

2x + 2(2x – 5) = 230
2x + 4x - 10 = 230
6x - 10 = 230
6x = 240
x = 40


let W be the width
2W - 5 is the length

P =2 (L + W)
230 = 2 ( 2W - 5 + W)
115 = 3W - 5
120 = 3W
W = 40 ft

L = 2(40) - 5
L =75 ft

Answer 3

Question 1
6x = 240
x = 40

Question 2
Let length be L and width be W.
2W - 5 = L
2W + 2.(2W - 5) = 230
6W = 240
W = 40 ft
L = 75 ft

Answer 4

To avoid confusion:
L = Length
W = Width
P = Perimeter

P = 2W + 2L
L = 2W - 5
P = 230
Plug & solve:
230 = 2W + 2(2W - 5) - {I realize this it the equation you have at the top with W instead of x.}
230 = 2W + 2(2W - 5)
230 = 2W + 4W - 10
230 = 6W - 10
230 + 10 = 6W - 10 + 10
240 = 6W
40 = W (Plug this into the Length formula to find the Length.)

L = 2W - 5
L = 2(40) - 5
L = 80 - 5
L = 75

Answer 5

2x + 2(2x - 5) = 230
2x + 4x -10 = 230
6x -10 = 230
6x = 240
x = 40

Check:
2x + 2(2x - 5) = 230
2(40) + 2 [2(40) - 5] = 230
80 + 2[80 - 5] = 230
80 + 160 - 10 = 230
80 + 150 = 230

Ta-da!

Answer 6

x = 40

2x + 4x -10 = 230

6x = 240

x = 40