How do i solve this complicated math probl;em

Question

The side of a square is 2x+8 inches long. The perimeter of the square is 20x+8 inches. What is the side length of the square in inches? 

Answer 1

Given:

s = (2x + 8) in

p = (20x + 8) in 

A square has four equal sides.

Perimeter is the distance around all the sides.

Therefore p = 4s

20x + 8 = 4*(2x + 8)

20x + 8 = 8x +32

-8x  - 8    -8x - 8

12x = 24

x = 2 

 

Now that we have x, plug in to the equation for s. 

s = (2*2+8)= 4+8 = 12 inches

 

Always check your work

p = 4s = 4*12= 48 inches

p = 20x + 8

p = 20*2 + 8=48 inches 

 

Answer 2

A square is a 4 sided shape that has equal sides.  The perimeter of a square is 4 times the side length.

 

 

 

Perimeter = 4 * side length

 

20x + 8 = 4(2x + 8)

 

 

Solve the equation to determine x.

 

Notice that we can factor each side of equation using the GCF.  This will make the equation simpler to solve.

 

4(5x + 2) = 4 * 2(x + 4)

 

 

Divide both sides of the equation by 4.

 

5x + 2 = 2(x + 4)

 

 

Distribute the 2 on the right side of equation.

 

5x + 2 = 2x + 8

 

 

Subtract 2x on both sides of equation.

 

3x + 2 = 8

 

 

Subtract 2 on both sides of equation.

 

3x = 6

 

 

Divide both sides of equation by 3.

 

x = 2

 

 

Substitute this value of x to get the side length.

 

Side length = 2(2) + 8

 

 

I leave it to you complete the calculation.

Answer 3

Here's what we know:

P = 4s (Perimeter is the four sides added together)

s = 2x + 8

P = 20x + 8

 

We have values for our variables, so we plug them in:

20x + 8 = 4(2x + 8)

20x + 8 = 8x + 32

12x + 8 = 32

12x = 24

x = 24/12

x = 2

 

Check:

4(2 * 2 + 8) = 20 * 2 + 8

4(4 + 8) = 40 + 8

4 * 12 = 48

48 = 48