Scale Factors and Area Relationships

Mrs. Groovy Groves guides students through a series of math problems involving scaling polygons and triangles. The lesson covers calculating perimeters and areas of scaled shapes, understanding the relationship between scale factors and area changes, and solving equations involving fractions. The video emphasizes the concept that area grows by the square of the scale factor, not the scale factor itself.

What is the perimeter of a polygon if its sides are doubled in length?

• It doubles

• It remains the same

• It triples

• It quadruples

If a polygon's area is 16 square units and the scale factor is 2, what is the new area?

• 80 square units

• 64 square units

• 48 square units

• 32 square units

A right triangle has an area of 36 square units. What is the area if the scale factor is 3?

• 144 square units

• 72 square units

• 324 square units

• 108 square units

What happens to the area of a shape if the scale factor is 1/2?

• It doubles

• It remains the same

• It halves

• It becomes one-fourth

Diego scaled a polygon with an area of 72 square units to 4.5 square units. What was the scale factor?

• 1/32

• 1/16

• 1/8

• 1/4

If a polygon's scale factor is 1, what can be said about its size?

• It is double the size

• It is the same size

• It is half the size

• It is triple the size

What is the scale factor if a polygon's new side is 4 units and the original side is 2 units?

• 4

• 1/2

• 1

• 2

How do you solve the equation 1/7 * x = 1?

• Subtract 7 from both sides

• Add 7 to both sides

• Multiply both sides by 7

• Divide both sides by 7

What is the result of dividing 1 by 1/5?

• 1

• 5

• 0

• 1/5

If 1/11 * x = 1, what is the value of x?

• 1/11

• 1

• 0

• 11