Understanding Perimeter and Area Equations

The video tutorial explains how to write equations for the perimeter and area of a rectangle. It begins by introducing the problem, which involves a rectangle with a given perimeter of 17x units and an area of 15x square units. The tutorial then guides viewers through the process of writing an equation for the perimeter by summing the lengths of all sides. Next, it demonstrates how to write an equation for the area by multiplying the base and height of the rectangle. The video emphasizes understanding the relationship between the dimensions of the rectangle and the resulting equations.

What is the given perimeter of the rectangle in terms of x?

• 15x units

• 17x units

• 20x units

• 12x units

What is the given area of the rectangle in terms of x?

• 10x square units

• 20x square units

• 15x square units

• 25x square units

Which expression represents one of the sides of the rectangle?

• 2x + 1

• 3x + 1

• 5x + 3

• 4x + 2

How do you calculate the perimeter of a rectangle?

• Multiply all the sides together

• Add the length and width and multiply by 2

• Multiply the length by the width

• Add all the sides together

What is the formula for the area of a rectangle?

• Length + Width

• Length x Width

• Length x Length

• 2 x (Length + Width)

Which expression represents the area of the rectangle?

• 2 and A2 x 2 and A2

• 4x + 2 x 4x + 2

• 2 and A2 x 4x + 2

• 2 and A2 + 4x + 2

What is the alternative way to express the area equation?

• Area = 4x + 2 x 4x + 2

• Area = 2 and A2 x 4x + 2

• Area = 2 and A2 + 4x + 2

• Area = 4x + 2 + 2 and A2

What is the final step after writing the equations for perimeter and area?

• Re-write the equations

• Conclude the process

• Solve the equations

• Verify the equations