Shape Area Scale Factor

If the area of a square was 16 in² and now it is 256 in², what is the scale factor that was used?

• 4

• 2

• 3

• 12

The area of a rectangle was 1125 sq cm, and was reduced to 45 sq cm. What was the scale factor used to reduce the shape?

• 25

• 5

A rectangular park on a city map has dimensions of 1.75in x 2.1in. The park in real life is 100 times larger than the drawing. What is the area of the actual park?

• 36,750 in²

• 367.5 in²

• 3,675 in²

• 11,550 in²

A rectangular park on a city map has dimensions of 1.75in x 2.1in. The park in real life is 1,500 times larger than the drawing. What is the perimeter of the actual park?

• 5,512.5 in

• 3,675 in

• 5,250 in

• 11,550 in

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.

What is the scale factor from ΔDEF to ΔABC?

• 1/2

• 7/3

• 2

• 10/3

If a shape is dilated by a scale factor of 1/2, what is the resulting perimeter?

• The new perimeter is 1/2 the original

• The new perimeter is 2 times the original

• The new perimeter is 1/4 the original

• The new perimeter is 4 times the original

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 rectangle has a base 4 ft and height of 5 feet. If the figure dilated by a scale factor of 2, what will be true about its area?

• The area is doubled.

• The area is multiplied by 4.

• The area stays the same

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

• 2

• 8

• 16

• 25