The length of a rectangle is 6 inches longer than its width.The perimeter of the rectangle is 28 inches.It x represents the with of the rectangle In inches, which equation can be used to find its value? x+6+2x=28 6x+6x+x+x=28 2(x+6)=28 2(x+6)+2x=28

## Step 1<br />The problem provides us with the following information:<br />- The length of the rectangle is 6 inches longer than its width.<br />- The perimeter of the rectangle is 28 inches.<br /><br />We are asked to find an equation that represents the width of the rectangle, denoted as \(x\).<br /><br />## Step 2<br />The formula for the perimeter of a rectangle is given by:<br />### \(P = 2L + 2W\)<br />where \(P\) is the perimeter, \(L\) is the length, and \(W\) is the width.<br /><br />## Step 3<br />Given that the length is 6 inches longer than the width, we can express the length as \(x + 6\).<br /><br />## Step 4<br />Substituting the expressions for the length and width into the perimeter formula, we get:<br />### \(2(x + 6) + 2x = 28\)