Scale Factors and Area Calculations

The video tutorial covers Lesson 19, focusing on computing actual areas from scale drawings. It explains how to find scale factors and calculate areas for different shapes, including rectangles and right triangles. The lesson includes examples and exercises, such as determining the actual area of a basketball court and using scale drawings for apartment layouts. Key concepts include the relationship between scale factors and area ratios, and the importance of understanding scale in practical applications.

What is the scale factor if the scaled drawing is 6 units and the actual is 3 units?

• 1

• 2

• 4

• 3

If the actual area is 54 square units and the scale drawing area is 6 square units, what is the simplified ratio of the scale drawing to the actual area?

• 1:2

• 1:9

• 1:6

• 1:3

For a right triangle with a base of 6 units and height of 9 units, what is the actual area?

• 18 square units

• 27 square units

• 36 square units

• 54 square units

What is the relationship between the scale factor and the area ratio?

• Area ratio is the cube of the scale factor

• Area ratio is the square of the scale factor

• Area ratio is half the scale factor

• Area ratio is double the scale factor

If the scale factor of the sides is 4/3, what is the ratio of the area?

• 8/3

• 2

• 16/9

• 4/3

In the basketball court plan, if 1 inch on the drawing corresponds to 15 feet, what is the actual length for 2 inches on the drawing?

• 15 feet

• 60 feet

• 30 feet

• 45 feet

What is the actual area of the basketball court if the dimensions are 30 feet by 25 feet?

• 500 square feet

• 900 square feet

• 600 square feet

• 750 square feet

In the suburban apartment, if 1 inch on the scale represents 12 feet, what is the actual length for 2.5 inches on the drawing?

• 15 feet

• 30 feet

• 37.5 feet

• 45 feet

What is the actual area of the suburban apartment if the scale drawing area is 5 square inches?

• 960 square feet

• 840 square feet

• 720 square feet

• 600 square feet

For the city apartment, if 1 inch on the scale represents 16 feet, what is the actual area if the scale drawing area is 3 square inches?

• 576 square feet

• 768 square feet

• 640 square feet

• 720 square feet