Answered

Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Connect with a community of experts ready to provide precise solutions to your questions on our user-friendly Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

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 :

vialia

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

renknee

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.

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.