Perimeter/Area/ Volume of Similar Figures

Front

What is the formula for the perimeter of a rectangle?

Back

Perimeter = 2(length + width)

Front

Define scale factor in the context of similar figures.

Back

Scale factor is the ratio of the lengths of corresponding sides of two similar figures.

Front

How do you find the area of a rectangle?

Back

Area = length × width

Front

What is the relationship between the perimeters of two similar figures?

Back

The ratio of the perimeters is equal to the scale factor.

Front

If the scale factor between two similar figures is 3:2, what is the ratio of their areas?

Back

The ratio of their areas is 9:4 (square of the scale factor).

Front

What is the formula for the volume of a rectangular prism?

Back

Volume = length × width × height

Front

How do you find the volume of similar solids?

Back

The ratio of their volumes is the cube of the scale factor.

Front

If the area of a smaller similar figure is 36 square units, what is the area of the larger figure if the scale factor is 2:1?

Back

Area of larger figure = 144 square units (2^2 × 36).

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 × base × height

Front

If the perimeter of a smaller figure is 20 cm, what is the perimeter of a larger figure with a scale factor of 5:2?

Back

Perimeter of larger figure = 50 cm (5/2 × 20).