The length of a rectangular room is 2 feet less than twice the width. If the perimeter is 68 feet, find the length and width of the room

Width: 12 feet

Length: 22 feet

Step-by-step explanation:

Let's assign variable w to width, and create an expression that uses this variable w for length.

Length: 2w - 2

Width: w

Perimeter of a rectangle is found by using the formula:

This holds true because in a rectangle, the sides opposite to each other are parallel and congruent.

We are given the perimeter in this question, 68 feet, so we can substitute this number into the formula to find the perimeter of a rectangle.

We can also substitute the expressions for length and width into the formula.

Distribute 2 inside the parentheses.

Combine like terms on the left side of the equation.

Add 4 to both sides of the equation.

Divide both sides of the equation by 6.

The width of the rectangular room is 12 feet. Now substitute this value for w into the expression for length in order to find the length of the room.

The length of the rectangular room is 22 feet.

2? if not the correct answer you might need to provide more information

step-by-step explanation: