Real-Life Dilation: Applying Shapes and Sizes in Math

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: 12 cm, Width: 6 cm

• Length: 10 cm, Width: 5 cm

• Length: 15 cm, Width: 7 cm

• Length: 8 cm, Width: 4 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 coordinates of the new vertices?

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

• (2, 2)

• (4, 6)

• (8, 2)

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

• 12.5 square inches

• 10 square inches

• 2.5 square inches

• 6.25 square inches

A model of a car is 10 inches long. If the model is dilated to a scale factor of 4, how long will the actual car be in inches?

• 30 inches

• 50 inches

• 40 inches

• 20 inches

A circular garden has a radius of 3 meters. If the garden is dilated by a scale factor of 2, what will be the new area of the garden?

• 18π square meters

• 9π square meters

• 12π square meters

• 36π square meters

A photograph is 8 inches wide and 10 inches tall. If it is enlarged by a scale factor of 1.5, what will be the new dimensions of the photograph?

• 10 inches wide and 12 inches tall

• 12 inches wide and 15 inches tall

• 9 inches wide and 13 inches tall

• 14 inches wide and 18 inches tall

A triangle has sides measuring 6 cm, 8 cm, and 10 cm. If the triangle is dilated by a scale factor of 0.75, what will be the lengths of the sides of the new triangle?

• 3 cm, 4 cm, 5 cm

• 6 cm, 8 cm, 10 cm

• 4.5 cm, 6 cm, 7.5 cm

• 5 cm, 7 cm, 9 cm

A rectangular swimming pool is 20 meters long and 10 meters wide. If the pool is dilated by a scale factor of 1.2, what will be the new area of the pool?

• 300 square meters

• 180 square meters

• 240 square meters

• 288 square meters

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

• 3 inches by 4 inches

• 2 inches by 3 inches

• 1 inch by 2 inches

• 6 inches by 8 inches

A garden plot is in the shape of a rectangle measuring 15 feet by 10 feet. If the plot is dilated by a scale factor of 1.5, what will be the new perimeter of the garden plot?

• 60 feet

• 75 feet

• 70 feet

• 80 feet