Find the dimensions of a rectangle with perimeter 74cm if the width and length are consecutive

L = 19

W = 18

Step-by-step explanation:

Equation

P = 2*(L + W) Let the Width = WThen the Length = W + 1

Givens

P = 74The two consecutive numbers are one after the other.

Solution

2*(L + W) = 74              Substitute W + 1 for L 2(W + 1 + W) = 74        Combine like terms on the left2(2W + 1) = 74              Remove the brackets on the left4W + 2 = 74                 Subtract 2 from both sides.4W + 2 - 2 = 74 - 2      Combine4W = 72                       Divide by 44W/W = 72/4                Do the divisionW = 18L = 18 + 1 = 19

Note: If  the assumption is incorrect, please finish your sentence with odd or even consecutive numbers. I've used the word consecutive to be un modified. That way consecutive means one number after another.