How to use dialations and factors to find the new perimeter and area of a rectangle

The video tutorial explains the concept of dilation using a painting example. It covers how to calculate the perimeter and area of a picture before and after dilation by a factor of 6. The tutorial addresses common misconceptions about area dilation and demonstrates the correct method to calculate the new area by squaring the dilation factor.

What is the original size of the picture that the painter wants to enlarge?

• 10 cm by 20 cm

• 15 cm by 25 cm

• 10 cm by 15 cm

• 15 cm by 20 cm

How do you calculate the perimeter of a rectangle?

• Multiply the length by the width

• Add all the sides together

• Multiply the length by 2

• Multiply the width by 2

After dilation by a factor of 6, what are the new dimensions of the picture?

• 60 cm by 90 cm

• 70 cm by 100 cm

• 80 cm by 110 cm

• 50 cm by 80 cm

What is a common mistake students make when calculating the area after dilation?

• Adding the dilation factor to the area

• Multiplying the area by the dilation factor

• Dividing the area by the dilation factor

• Subtracting the dilation factor from the area

What is the correct way to calculate the new area after dilation?

• Add the dilation factor to the original area

• Divide the original area by the dilation factor

• Multiply the original area by the dilation factor

• Multiply the original area by the square of the dilation factor

If the original area is 150 cm² and the dilation factor is 6, what is the new area?

• 900 cm²

• 1500 cm²

• 3600 cm²

• 5400 cm²

Why is the area multiplied by the square of the dilation factor?

• Because the perimeter is squared

• Because the area is a two-dimensional measure

• Because the length is doubled

• Because the width is halved