Scale Factors and Area Calculations

This video tutorial covers Unit 1 Lesson 12 of Math 7, focusing on scale drawings and unit conversions. It begins with an introduction to scale drawings, followed by exercises involving the world's largest flag to illustrate scaling concepts. The lesson includes detailed calculations of scale factors and area comparisons. The video concludes with a discussion on homework and practical applications of scale drawings.

How many centimeters are there in a mile if 1 inch equals 2.54 cm?

• 160,934 cm

• 1,609,344 cm

• 160,934,400 cm

• 16,093,440 cm

What was the scale factor used to convert the original length of the world's largest flag?

• 1 to 5,000

• 1 to 100

• 1 to 200

• 1 to 2,000

If you have 2,000 cm, how many meters is that equivalent to?

• 20 meters

• 200 meters

• 2 meters

• 0.2 meters

What is the area of the large flag if the smaller flag's area is 6136 cm² and the scale factor is 2,000?

• 8,000,000 cm²

• 12,272,000 cm²

• 4,000,000 cm²

• 24,544,000 cm²

What is the scale factor for a pool if the scale drawing length is 2.8 cm and the actual length is 14 m?

• 1:5

• 1:10

• 1:50

• 1:100

Which scale is most appropriate for drawing the Empire State Building on an 8.5 by 11 inch paper?

• 1 inch to 1 mile

• 1 inch to 100 feet

• 1 cm to 50 meters

• 1 inch to 1 foot

If a scale drawing of a house is 25 square inches and the actual area is 2,025 square feet, what is the scale factor?

• 1:9

• 1:81

• 1:25

• 1:100

Which of these scales is equivalent to 3 cm to 4 km?

• 1 cm to 12 km

• 75 cm to 1 km

• 3 mm to 40 m

• 6 mm to 2 km

What is the area of a larger triangle if the smaller triangle's area is 9 square units and the scale factor is 2?

• 72 square units

• 36 square units

• 9 square units

• 18 square units

If water bottles cost $1.25 each, what is the total cost for 50 bottles?

• $75.00

• $50.00

• $100.00

• $62.50