Perimeter and Coefficient Problems

The video tutorial explains how to find the perimeter of geometric shapes like rectangles and triangles by combining like terms. It starts with an introduction to geometry applications, followed by a detailed explanation of calculating the perimeter of a rectangle using algebraic expressions. The tutorial then demonstrates finding the perimeter of a triangle, emphasizing the importance of understanding coefficients and combining like terms.

What is the first step in applying geometry to combine like terms?

• Identifying congruent sides

• Understanding the concept of perimeter

• Finding the area of a shape

• Calculating the volume of a shape

How do you find the perimeter of a shape?

• Add all sides

• Multiply all sides

• Subtract the longest side from the shortest

• Divide the total length by the number of sides

What is the perimeter of a rectangle with sides 3x² + 4x - 1 and x + 2?

• 4x² + 6x + 1

• 7x² + 12x + 4

• 5x² + 8x + 3

• 6x² + 10x + 2

What is the perimeter of a rectangle if one side is 3x² + 4x - 1?

• 9x² + 12x - 3

• 6x² + 8x - 2

• 3x² + 4x - 1

• 12x² + 16x - 4

What is the perimeter of a rectangle with sides 3x² + 4x - 1 and x + 2?

• 7x² + 12x + 4

• 6x² + 10x + 2

• 4x² + 6x + 1

• 5x² + 8x + 3

When combining like terms, what is the result of 3x² + 3x²?

• 0

• 3x²

• 6x²

• 9x²

What is the coefficient of x in the expression 4x + 1x + 4x + x?

• 9

• 8

• 10

• 11

What is the result of adding the constant terms -1, 2, -1, and 2?

• 1

• 0

• 2

• 3

What is the result of combining like terms in 3x² + 3x²?

• 3x²

• 9x²

• 6x²

• 0

What is the first step in finding the perimeter of a triangle?

• Multiply the base by the height

• Add all the sides

• Divide the perimeter by 3

• Subtract the smallest side from the largest