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myrzilka [38]
2 years ago
15

Solve the equation.

Mathematics
1 answer:
Serjik [45]2 years ago
4 0

Answer:

x = 1/2

Step-by-step explanation:

  1. -3x + 1 + 10x = x + 4 [given]
  2. 7x + 1 = x + 4 [combine like terms]
  3. 6x + 1 = 4 [subtract x from both sides]
  4. 6x = 3 [subtract 1 from both sides]
  5. x = 1/2 [divide both sides by 6)
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To start, let x represent the width and x+100 represent the length. Since the perimeter of a figure is the sum of all the measurements of the side which can be represented by (x+100)+(x+100)+x+x and since you know your perimeter is 1220, you can set the expression equal to 1220. This would look like this:
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Now that you have your like terms simplified, subtract 200 from both sides to get 4x=1020 and finally, to solve for x, or find the width, divide both sides by 4 to get x=255.

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Now that you have your length and width, you can conclude that the dimensions of the field is 255 by 355 feet, which is your answer :)
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