Effects of Dimension Changes on Perimeter and Area

This video tutorial covers the effects of changing dimensions on the perimeter and area of polygons. It explains how multiplying dimensions by a factor affects these properties, using examples like doghouses and trapezoids. The lesson includes practice problems and advanced examples to reinforce understanding.

What is the main focus of Chapter 9, Lesson 4?

• Introduction to algebraic expressions

• Changes in dimensions and their effects on perimeter and area

• Understanding geometric shapes

• Learning about volume calculations

In the doghouse example, what are the original dimensions of the floor?

• 4 feet long and 3 feet wide

• 6 feet long and 2 feet wide

• 5 feet long and 3 feet wide

• 4 feet long and 2 feet wide

How do you calculate the perimeter of a rectangle?

• Multiply the length by the width

• Multiply the length by 2

• Add the length and width

• Add all the side lengths together

What happens to the perimeter when the width of the doghouse is doubled?

• It doubles

• It is halved

• It remains the same

• It increases by 8 feet

If the dimensions of a polygon are multiplied by X, how does the perimeter change?

• It changes by a factor of X squared

• It changes by a factor of X

• It is halved

• It remains unchanged

In the example where dimensions are tripled, what happens to the perimeter?

• It triples

• It is halved

• It doubles

• It remains the same

What effect does halving the dimensions of a trapezoid have on its perimeter?

• The perimeter triples

• The perimeter doubles

• The perimeter remains the same

• The perimeter is halved

How does the area of a polygon change when its dimensions are multiplied by X?

• It is halved

• It remains unchanged

• It changes by a factor of X squared

• It changes by a factor of X

What is the effect on area when dimensions are doubled?

• The area quadruples

• The area remains the same

• The area is halved

• The area doubles

When dimensions are multiplied by five, how does the area change?

• It changes by a factor of 5

• It remains unchanged

• It changes by a factor of 25

• It is halved