Answered

Find solutions to your problems with the help of IDNLearn.com's knowledgeable users. Ask your questions and receive accurate, in-depth answers from our knowledgeable community members.

If the perimeter is 34, find the value of x:
2x + 2
4x + 3

If The Perimeter Is 34 Find The Value Of X 2x 2 4x 3 class=

Sagot :

Vialiaidn

Answer:

x = 11/4 or 2.75

Step-by-step explanation:

Perimeter: 43

Perimeter: L + L + W + W

L = 4x + 3

W = 2x + 2

(4x + 3) + (4x + 3) + (2x + 2) + (2x + 2) = 43

4x + 4x + 2x + 2x + 3 + 3 + 2 + 2 = 43

8x + 4x + 6 + 4 = 43

12x + 10 = 43

12x = 43 - 10

12x = 33

12x/12 = 33/12

x = 33/12

Renkneeidn

Answer:

x = 2

Step-by-step explanation:

1. The perimeter is the distance around a 2D shape, meaning to find the perimeter we have to add: 2x + 2 + 2x + 2 + 4x + 3 + 4x + 3. Or, we could write it as 2(2x+2) + 2(4x+3).

2. Since we're already given the perimeter, 34, we can set up an equation of: [tex]2(2x+2) + 2(4x+3) = 34[/tex]

3. (Solving)

Step 1: Simplify both sides of the equation.

  • [tex](2)(2x)+(2)(2)+(2)(4x)+(2)(3) = 34[/tex]
  • [tex]4x + 4 + 8x + 6 = 34[/tex]
  • [tex](4x+8x) + (4+6) = 34[/tex]
  • [tex]12x + 10 = 34[/tex]

Step 2: Subtract 10 from both sides.

  • [tex]12x + 10 - 10 = 34 - 10[/tex]
  • [tex]12x = 24[/tex]

Step 3: Divide both sides by 12.

  • [tex]\frac{12x}{12} = \frac{24}{12}[/tex]
  • [tex]x = 2[/tex]

4. To check if our answer correct, let's plug in the value of x into our equation!

  • [tex]2(2*2+2) + 2(4*2+3)=34[/tex]
  • [tex]2(4+2) + 2(8+3) = 34[/tex]
  • [tex]2(6) + 2(11) = 34[/tex]
  • [tex]12 + 22 = 34[/tex]
  • [tex]34 = 34[/tex]

Therefore, x = 2! I hope this helped you.

Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. Your questions deserve accurate answers. Thank you for visiting IDNLearn.com, and see you again for more solutions.