Two similar triangles have a scale factor of 4:7. If the length of a side in the smaller triangle is 10 cm, find the length of the corresponding side in the larger triangle.

A rectangular field has dimensions 30 meters by 20 meters. If the field is dilated with a scale factor of 0.5, find the dimensions of the dilated field.

A rectangular garden has dimensions 10 meters by 15 meters. If the garden is dilated with a scale factor of 2, find the dimensions of the dilated garden.

A square has an area of 64 square centimeters. If it is dilated with a scale factor of 0.75, find the new area.

The scale factor between two similar triangles is 1:2. If the area of the smaller triangle is 25 square units, find the area of the larger triangle.

The scale factor between two similar circles is 2:5. If the radius of the smaller circle is 6 cm, find the radius of the larger circle.

The scale factor between two similar triangles is 2:3. If the area of the smaller triangle is 36 square units, find the area of the larger triangle.

The area of a rectangle is 40 square centimeters. If it is dilated with a scale factor of 3, find the new area.

A square has a side length of 8 meters. If it is dilated with a scale factor of 1.5, find the new side length of the square.

The scale factor between two similar rectangles is 1:4. If the area of the smaller rectangle is 25 square meters, find the area of the larger rectangle.