If the perimeter of a rectangle is 20 meters and the length is 6 meters, what is the width?

To find the width of the rectangle, you can use the formula for the perimeter of a rectangle, which is given by:

[ P = 2L + 2W ]

where ( P ) represents the perimeter, ( L ) is the length, and ( W ) is the width. In this case, the perimeter is 20 meters and the length is 6 meters.

By substituting the known values into the formula, you have:

[ 20 = 2(6) + 2W ]

This simplifies to:

[ 20 = 12 + 2W ]

Next, isolate ( 2W ) by subtracting 12 from both sides:

[ 20 - 12 = 2W ]

[ 8 = 2W ]

Now, divide both sides by 2 to solve for ( W ):

[ W = \frac{8}{2} = 4 ]

Thus, the width of the rectangle is 4 meters. This confirms the answer, as it matches the first choice. The other options do not satisfy the equation once substituted back into the perimeter formula, reinforcing that the correct identification of the width is 4 meters. This demonstrates