Calculating Actual Areas from Scale Drawings

Mr. Buffington explains the concept of scale factor and its relation to area. He uses examples of rectangles and triangles to demonstrate how the scale factor squared gives the ratio of areas. The video concludes with a practical application of this concept in calculating the area of a scale drawing and converting it to actual area using the scale factor.

What is the area of a rectangle with a length of 4 meters and a width of 1 meter?

• 3 square meters

• 2 square meters

• 5 square meters

• 4 square meters

If a rectangle's length is scaled by a factor of 2, what happens to its area?

• It remains the same

• It doubles

• It halves

• It quadruples

What is the area ratio of two similar rectangles if the scale factor is 3?

• 3

• 6

• 9

• 12

How do you calculate the area of a triangle?

• Base plus height divided by 2

• Base times height divided by 2

• Base times height

• Base divided by height

What is the area of a triangle with a base of 6 meters and height of 3 meters?

• 9 square meters

• 12 square meters

• 6 square meters

• 18 square meters

If the scale factor is 1/3, what is the area ratio for similar triangles?

• 1/6

• 1/12

• 1/3

• 1/9

What is the area of a scale drawing that measures 3.5 inches by 2 inches?

• 5 square inches

• 8 square inches

• 6 square inches

• 7 square inches

If 1 inch represents 10 feet, what is the actual area of an apartment that measures 3.5 inches by 2 inches in the scale drawing?

• 140 square feet

• 70 square feet

• 350 square feet

• 700 square feet

What does the scale factor squared represent in the context of similar figures?

• The sum of the areas

• The ratio of the areas

• The difference in area

• The ratio of the perimeters

How can the area of an actual object be calculated using a scale drawing?

• Add the scale factor to the area of the scale drawing

• Divide the area of the scale drawing by the scale factor

• Multiply the area of the scale drawing by the square of the scale factor

• Subtract the scale factor from the area of the scale drawing