The length of a rectangle is 6 inches longer than its width. the perimeter of the rectangle is 28 inches. if x represents the widt
of the rectangle in inches, which equation can be used to find its value?

The equation 12 + 2w = 28 can be used to find its value.

Step-by-step explanation:

We know that the perimeter is 28 inches and the length is 6 inches. We know that the perimeter of a rectangle is 2l + 2w. This means we can plug in our length and our perimeter to get an equation, 6*2 + 2w = 28, or

12 + 2w = 28.

We can solve this by first subtracting 12 from both sides

2w = 16 | Then divide both side by 2

w = 8

Step-by-step explanation:

Rectangle:

Width = x inches

Length = x + 6 inches

Perimeter = 28 inches

     2 ( l + b )   = 28

2 * ( {x+6} + x)  = 28

2 * ( x + 6 +x )  =28

2 * (2x + 6)     =28

         2x + 6   = 28/2

          2x + 6 = 14

                  2x = 14 - 6

                  2x = 8

                    x = 8/2

                    x = 4

Width = 4 inches

Length = x + 6  = 4 + 6 = 10 inches

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step-by-step explanation: