Question

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

Answer 1

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

Answer 2

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: $2(2x+2) + 2(4x+3) = 34$

3. (Solving)

Step 1: Simplify both sides of the equation.

• $(2)(2x)+(2)(2)+(2)(4x)+(2)(3) = 34$
• $4x + 4 + 8x + 6 = 34$
• $(4x+8x) + (4+6) = 34$
• $12x + 10 = 34$

Step 2: Subtract 10 from both sides.

• $12x + 10 - 10 = 34 - 10$
• $12x = 24$

Step 3: Divide both sides by 12.

• $\frac{12x}{12} = \frac{24}{12}$
• $x = 2$

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

• $2(2*2+2) + 2(4*2+3)=34$
• $2(4+2) + 2(8+3) = 34$
• $2(6) + 2(11) = 34$
• $12 + 22 = 34$
• $34 = 34$

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