Scale Factors w/ Perimeter, Area

Front

What happens to the area of a circle if its radius is quadrupled?

Back

The new area will be 16 times the old area.

Front

If a square garden has a side length of 25 feet, what is the area of a scale drawing using the scale 2 inches = 5 feet?

Back

100 in²

Front

What is the area of a rectangle that is scaled by a factor of 7 if its original dimensions are 2 inches by 3 inches?

Back

42 sq in

Front

If both dimensions of a rectangle are doubled, what happens to its perimeter?

Back

The new perimeter will be double the old perimeter.

Front

What is the scale factor if the perimeter of a rectangle changes from 20 inches to 80 inches?

Back

4

Front

Define scale factor in relation to geometry.

Back

A scale factor is a number that scales, or multiplies, a quantity. It is used to enlarge or reduce figures.

Front

How do you calculate the area of a rectangle?

Back

Area = length × width.

Front

What is the relationship between scale factor and area for similar figures?

Back

The area of similar figures is proportional to the square of the scale factor.

Front

If a triangle's base and height are both doubled, how does its area change?

Back

The area will be quadrupled.

Front

What is the formula for the area of a circle?

Back

Area = π × radius².