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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.

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