Mastering Dilation: Scale Factors in Real-Life Shapes

A rectangle has a length of 4 cm and a width of 2 cm. If the rectangle is dilated by a scale factor of 3, what will be the new dimensions of the rectangle?

• Length: 15 cm, Width: 7 cm

• Length: 10 cm, Width: 5 cm

• Length: 8 cm, Width: 4 cm

• Length: 12 cm, Width: 6 cm

A triangle has vertices at (1, 2), (3, 4), and (5, 2). If the triangle is dilated by a scale factor of 2 from the origin, what are the new coordinates of the vertices?

• The new coordinates of the vertices are (2, 4), (6, 8), and (10, 4).

• (4, 8), (12, 16), (20, 4)

• (2, 4), (6, 6), (10, 2)

• (1, 2), (3, 4), (5, 2)

A square has a side length of 5 m. If it is dilated by a scale factor of 0.5, what will be the area of the new square?

• 12.5 m²

• 6.25 m²

• 25 m²

• 2.5 m²

A circular garden has a radius of 6 feet. If the garden is dilated by a scale factor of 1.5, what will be the new radius of the garden?

• 9 feet

• 10 feet

• 12 feet

• 7 feet

A photograph measuring 8 inches by 10 inches is enlarged by a scale factor of 2. What will be the area of the enlarged photograph?

• 400 square inches

• 320 square inches

• 160 square inches

• 240 square inches

A model of a car is built at a scale of 1:10. If the actual car is 4 meters long, how long is the model car?

• 0.4 meters

• 0.8 meters

• 0.2 meters

• 1 meter

A triangle has a base of 10 cm and a height of 5 cm. If the triangle is dilated by a scale factor of 4, what will be the area of the new triangle?

• 400 cm²

• 200 cm²

• 50 cm²

• 100 cm²

A rectangular swimming pool is 20 m long and 10 m wide. If it is dilated by a scale factor of 0.75, what will be the new dimensions of the pool?

• The new dimensions of the pool are 15 m long and 7.5 m wide.

• 22 m long and 11 m wide

• 18 m long and 9 m wide

• 16 m long and 8 m wide

A piece of artwork is 12 inches tall and 16 inches wide. If it is reduced by a scale factor of 0.25, what will be the new dimensions of the artwork?

• 1 inch tall and 2 inches wide

• 3 inches tall and 4 inches wide

• 2 inches tall and 3 inches wide

• 6 inches tall and 8 inches wide

A garden plot is in the shape of a rectangle measuring 15 m by 10 m. If the plot is dilated by a scale factor of 2, what will be the area of the new garden plot?

• 600 m²

• 300 m²

• 450 m²

• 150 m²