Scale Drawings and Area Calculations

The video tutorial covers the concept of scale drawings, explaining how they are proportional two-dimensional representations of objects. It introduces the idea of scale as a ratio between two sets of measurements and demonstrates how to create scale drawings using actual measurements. The tutorial provides examples with rectangles A and B, showing how to calculate their actual sizes and areas using given scales. The video also highlights the importance of scale drawings in various fields such as cartography, engineering, and design.

What is a scale drawing?

• A digital representation of an object

• A random sketch of an object

• A proportional two-dimensional drawing of an object

• A three-dimensional model of an object

How is a scale represented?

• As a percentage

• As a decimal

• As a ratio separated by a colon

• As a fraction

What does a scale of 1:4 mean?

• 4 units on the drawing represent 4 units in real life

• 1 unit on the drawing represents 1 unit in real life

• 1 unit on the drawing represents 4 units in real life

• 4 units on the drawing represent 1 unit in real life

In which fields are scale drawings commonly used?

• Cartography, mechanical engineering, and construction

• Cooking, painting, and music

• Literature, history, and philosophy

• Sports, entertainment, and fashion

If a rectangle is 5 cm by 9 cm on a 1:3 scale drawing, what is its actual size?

• 5 cm by 9 cm

• 10 cm by 18 cm

• 15 cm by 27 cm

• 20 cm by 30 cm

How do you calculate the area of a rectangle from a scale drawing?

• Divide the length by the width

• Add the length and width

• Multiply the length by the width

• Subtract the width from the length

What is the actual size of a rectangle that is 7 cm by 12 cm on a 1:4 scale drawing?

• 7 cm by 12 cm

• 14 cm by 24 cm

• 28 cm by 48 cm

• 21 cm by 36 cm

What is the area of a rectangle with dimensions 28 cm by 48 cm?

• 1,344 cm²

• 1,600 cm²

• 1,500 cm²

• 1,200 cm²