Scale Drawings and Area Calculations

The video tutorial covers the concept of scale factors and their impact on area and perimeter. It begins with an introduction to scale drawings and proportions, followed by practical examples of applying scale factors to enlarge shapes. The tutorial explains how to calculate new area and perimeter using scale factors, including understanding the ratios of new to old dimensions. It also discusses the effects of fractional scale factors and concludes with a word problem application to reinforce the concepts.

What is a scale drawing used for?

• To calculate the volume of an object

• To measure the weight of an object

• To change the color of an object

• To represent objects that are too big or too small in actual size

If a gym's scale drawing uses 1 cm = 4 m, what is the actual length if the drawing shows 3 cm?

• 6 meters

• 10 meters

• 8 meters

• 12 meters

When enlarging a rectangle with a scale factor of 2, what happens to the dimensions?

• They are squared

• They are multiplied by 2

• They remain the same

• They are divided by 2

How do you find the new area of a shape when the scale factor is 3?

• Multiply the original area by 3

• Multiply the original area by 3 squared

• Add 3 to the original area

• Divide the original area by 3

What is the ratio of the new area to the old area if the scale factor is 5?

• 25:1

• 15:1

• 10:1

• 5:1

If the scale factor is 1/2, what happens to the new perimeter?

• It is multiplied by 1/2

• It is squared

• It remains the same

• It is divided by 2

How do you calculate the new area when the scale factor is a fraction?

• Add the fraction to the original area

• Multiply the original area by the fraction

• Multiply the original area by the fraction squared

• Divide the original area by the fraction

What is the new area if the original area is 20 square inches and the scale factor is 1/2?

• 2.5 square inches

• 5 square inches

• 10 square inches

• 15 square inches

In a word problem, if a rectangular blueprint is enlarged by a scale factor of 3, what happens to the perimeter?

• It is divided by 3

• It is squared

• It remains the same

• It is multiplied by 3

If the original area of a rectangle is 28 square inches and the scale factor is 3, what is the new area?

• 84 square inches

• 252 square inches

• 112 square inches

• 56 square inches