Dilations Perimeter Area

A square with a side length of 4 cm was dilated by a scale factor of 7/4 to form a square with a side length of 7 cm. How does the area of the image of the square relate to the original?

• The area of the image is 7/4 the area of the original.

• The area of the image is 4/7 the area of the original.

• The area of the image is 49/16 the area of the original.

• The area of the image is 16/49 the area of the original.

The lengths, in centimeters, of the sides of quadrilateral ABCD are as follows: AB = 3,     BC = 4,  CD = 5, and AD = 5. Quadrilateral ABCD is dilated by a scale factor of 2.5 to form quadrilateral A’B’C’D’,   Which statement about the side lengths of quadrilateral A’B’C’D’ is true?

• A'B' = 6

  B’C’ = 8

• A'B' = 1.2

  B’C’ = 1.6

• A'D' = C'D' = 12.5

  B’C’ = 10

• A'D' = C'D' = 2

If the shape is dilated by a scale factor of 1/3. What is the new perimeter?

• 12

• 18

• 36

• 9

If the shape is dilated by a scale factor of 6. What is the new perimeter?

• 40

• 240

• 60

• 360

If the shape is dilated by a scale factor of 2. What is the new area (round to the tenths place)?

• 150.3

• 201.1

• 120.1

• 50.3

Solve the proportion.

• k=5

• k=3.3333333

• k=60

• k=90

If the shape is dilated by a scale factor 1/2. What is the new area?

• 77

• 38.5

• 12.56

• 9.625

Find the area of the polygon.

• 14 in²

• 68 in²

• 36 in²

• 24 in²

What is the area of the shaded region?

• 4 cm²

• 16 cm²

• 8 cm²

• 12 cm²

Find the area of the figure

• 43 sq inches

• 102 sq inches

• 37 inches

• 90 sq inches