Dilations Perimeter and Area

A rectangle is dilated by a scale factor of 3. What will be the resulting effect on the area?

• It will be dilated by scale factor of 3

• It will be dilated by a scale factor of 9

• There will be no effect on the area

• It will be dilated by 1/3

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8.10.D

A figure is dilated by a scale factor of 4. Which of the following statements about the figure must be true?

• The perimeter and area are both multiplied by 4.

• The perimeter is multiplied by 4 and the area is multiplied by 16.

• The perimeter and area are both divided by 4.

• The perimeter is multiplied by 16 and the area is multiplied by 4.

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8.10.D

If the scale factor is 5, how times larger will the area of the big square be compared to the smaller square?

• 5

• 20

• 25

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8.10.D

A triangle has an area of P square units. The triangle is dilated by a scale factor of 2. Which expression could represent the area of the new shape?

• 2P units

• 4P units

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8.10.D

Figure ABCD has an area of 4 units². It is then dilated using a scale factor of 4. What is the perimeter of the new figure?

• 32

• 64

• 8

A triangle has an area of P square units. The triangle is dilated by a scale factor of 3.

Which expression could represent the area of the new shape?

• 9P units

• 3P units

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8.10.D

A triangle has a perimeter of P units. The triangle is dilated by a scale factor of 1/2.

Which expression could represent the perimeter of the new shape?

• 2P units

• 4P units

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8.10.D

A triangle has a perimeter of P units. The triangle is dilated by a scale factor of 2.

Which expression could represent the perimeter of the new shape?

• 2P units

• 4P units

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8.10.D

Jane's garden is a 2 ft x 3 ft rectangle. If she increases it by a scale factor of 3, what is the new area of her garden?

• 72 square feet

• 18 square feet

• 36 square feet

• 54 square feet

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8.10.D

A rectangle is dilated by a scale factor of 2.

What happens to the area?

• doubles

• triples

• quadruples

• not enough information

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8.10.D