Finding the Area of a Scaled Drawing

This video tutorial explains how to calculate the area of a scaled rectangle using scaled dimensions. It introduces the concept of a scale factor, which is used to multiply the dimensions of an original figure to produce a new figure. The tutorial demonstrates how to generate scaled dimensions and calculate the scaled area by multiplying the scaled length and width. It highlights the importance of recognizing patterns in scaling and addresses common misunderstandings, such as the incorrect belief that multiplying the original area by the scale factor yields the scaled area.

What is a scale factor used for in geometry?

• To multiply dimensions of a figure

• To divide dimensions of a figure

• To add dimensions to a figure

• To subtract dimensions from a figure

How do you find the area of a scaled rectangle?

• Multiply the original area by the scale factor

• Add the scaled length and width

• Multiply the scaled length by the scaled width

• Divide the original area by the scale factor

If a 1-by-1 rectangle is scaled by a factor of 3, what are the new dimensions?

• 1-by-1 units

• 3-by-3 units

• 2-by-2 units

• 4-by-4 units

What is the scaled area of a rectangle with dimensions 4-by-4 units?

• 16 square units

• 12 square units

• 20 square units

• 8 square units

What happens to the scaled area when the scale factor increases by 1?

• It doubles

• It increases significantly

• It remains the same

• It decreases

What is a common misconception about calculating scaled areas?

• That the scale factor is irrelevant

• That the original area should be multiplied by the scale factor

• That the scale factor should be added to the original area

• That the original dimensions should be divided by the scale factor

If a rectangle is scaled by a factor of 8, what is the scaled area?

• 32 square units

• 80 square units

• 64 square units

• 48 square units