Solving Equations and Perimeter Concepts

The video tutorial explains how to solve a problem involving the perimeter of a rectangle. It begins by defining the perimeter and setting up an equation based on the given perimeter value. The tutorial then simplifies the equation and solves for the variable x, which represents the length of one side of the rectangle. The solution involves basic algebraic techniques to find that x equals 7.5 cm.

What is the perimeter of a shape?

• The area inside the shape

• The distance around the outside of the shape

• The volume of the shape

• The diagonal length of the shape

In a rectangle, how do the opposite sides compare?

• They are parallel but not equal

• They are always different

• They are equal in length

• They are perpendicular

What equation is set up to find the perimeter of the rectangle?

• 2x + 2x + 2x + 2x = 43

• x - 2 + 2x + 1 + x - 2 + 2x + 1 = 43

• x + x + x + x = 43

• x + 2x + x + 2x = 43

How is the equation simplified in the problem?

• By multiplying all terms by 2

• By dividing all terms by 2

• By subtracting all constants

• By adding all x terms together

What is the simplified form of the equation?

• 6x - 2 = 43

• 5x + 2 = 43

• 3x + 3 = 43

• 4x - 1 = 43

What is the first step in solving the equation 6x - 2 = 43?

• Divide both sides by 6

• Add 2 to both sides

• Multiply both sides by 6

• Subtract 2 from both sides

After adding 2 to both sides, what does the equation become?

• 6x = 41

• 6x = 47

• 6x = 45

• 6x = 43

How do you find the value of x from the equation 6x = 45?

• Subtract 6 from both sides

• Add 6 to both sides

• Divide both sides by 6

• Multiply both sides by 6

What is the value of x in the equation 6x = 45?

• 8

• 8.5

• 7.5

• 7

What is the unit of measurement for x in this problem?

• Meters

• Inches

• Centimeters

• Feet