given a rectangle that has a length that is three less than twice its width determine the expression that represents the perimeter of the rectangle

Answer 1

Let L = the length

Let W = the width

We know that the length is 3 less than twice its width, or

L = 2W - 3

The perimeter of a rectangle is equal to the sum of its sides. A rectangle has 4 sides, with 2 length and 2 width

Perimeter = 2L + 2W

Substitute in your equation for L to get

Perimeter = 2(2W - 3) + 2W

= (4W - 6) + 2W

= 6W - 6

Perimeter = 6W - 6 where W is equal to the width of the rectangle