Scale Factor from Perimeter to Area

A square is dilated by a scale factor of 4.3. Which statement is true?

• The perimeter of the new square will be 18.49 times the perimeter of the old square.

• The perimeter of the new square will be 3 times the perimeter of the old square.

• The area of the new square will be 4.3 times the area of the old square.

• The area of the new square will be 18.49 times the area of the old square.

If the linear scale factor is 4, what is the area scale factor?

• 2

• 8

• 16

• 25

If the linear scale factor is 6, what is the area scale factor?

• 12

• 6

• 36

• 18

A figure is multiplied by the scale factor 1/4. What will be the change in area?

• The area will be 1/4 the original area.

• The area will be 1/8 the original area.

• The area will be 1/16 the original area.

A figure is dilated by a scale factor of 7. How will the area of the figure be effected?

• It will be 7 times bigger.

• It will be 49 times bigger.

• It will be 7 times smaller.

• It will be 49 times smaller.

Which proportion must be true?

• F

• G

• H

• J

A triangle is dilated by a scale factor of 2. If the original perimeter was 24, what will be the new area?

• 24

• 2

• 12

• 48

If a shape is dilated, how do you find the new area?

• You multiply the old area by the scale factor used in the dilation.

• You square the scale factor used in the dilation. Then multiply the old area by the squared scale factor.

• 0.25
• 0.5
• 2
• 1/2

If I know the Area of the smaller rectangle is 12. How do I know the Area of the larger rectangle without knowing all side lengths.

• Multiply smaller Area by SF

• Divide smaller Area by SF

• Multiply smaller Area by SFxSF

• Multiply smaller Area by SFx2