Calculating Perimeter and Profit

This video tutorial covers writing algebraic expressions from real-world applications. It begins with calculating the perimeter of a rectangle using the formula 2L + 2W, then moves on to finding the perimeter of a non-rectangular polygon by summing the lengths of all sides. The tutorial also explains how to calculate the sale price of an item after a discount and how to determine monthly profit for a delivery service by subtracting costs from revenue. Each example is simplified to its most basic algebraic expression.

What is the formula used to calculate the perimeter of a rectangle?

• P = 4L

• P = L * W

• P = 2L + 2W

• P = L + W

Why do we use the expression 2L + 2W for a rectangle's perimeter?

• Because opposite sides have the same length

• Because it is a square

• Because all sides are equal

• Because it is a circle

How do you find the perimeter of a non-rectangular polygon?

• Multiply the lengths of all sides

• Add the lengths of all sides

• Subtract the lengths of all sides

• Divide the lengths of all sides

If a side of a polygon is labeled as 4x and another as 3x, what is the length of the remaining side?

• 7x

• 1x

• 12x

• 0x

What is the first step in calculating the sale price after a 65% discount?

• Add 65% to the original price

• Convert 65% to a decimal

• Subtract 65 from the original price

• Multiply the original price by 65

What is the simplified expression for the sale price if the original price is P?

• 0.35P

• 1.65P

• 0.65P

• P + 0.65

What is the expression for the revenue generated by a delivery service if each delivery earns $6?

• 6 + D

• 6D

• D/6

• D - 6

How is the cost of the delivery service calculated?

• 1,500 / 0.85D

• 1,500 * 0.85D

• 1,500 - 0.85D

• 1,500 + 0.85D

What is the expression for the profit of the delivery service?

• 6D + 1,500 + 0.85D

• 6D + (1,500 - 0.85D)

• 6D - 1,500 - 0.85D

• 6D - (1,500 + 0.85D)

What does the term 5.15D represent in the profit expression?

• Total revenue

• Total cost

• Net profit per delivery

• Fixed cost