Use the three steps to solve the problem. The length of a rectangle is 2 inches less than 3 times the number of inches in its width. If the perimeter of the re

Question

Use the three steps to solve the problem.

The length of a rectangle is 2 inches less than 3 times the number of inches in its width. If the perimeter of the rectangle is 28 inches, what is the width and length of the rectangle?

{Width                  a0in., Length               a1in.}

Answer 1

Step 1: set variables.

 

width = x

length = 3x - 2

Perimeter = 28

 

Step 2:  set the equation for perimeter using these variables and solve for the variable.

 

2x + 2(3x - 2) = 28

 

2x + 6x - 4 = 28

 

8x - 4 = 28

 

8x = 32

 

x = 4

 

 

Step 3:  plug in the value of x from last step into the variables.

 

width = 4 in

length = 10 in