Scale factor with Perimeter and Area

Front

What is a scale factor?

Back

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

Front

If a rectangle has a scale factor of 2, how does this affect its perimeter?

Back

The perimeter will also be multiplied by 2, making it twice as large.

Front

How does a scale factor of 2 affect the area of a square?

Back

The area will be 4 times larger because area is calculated as length x width, and both dimensions are multiplied by 2.

Front

What is the formula for the area of a rectangle?

Back

Area = length x width.

Front

If a drawing has a scale of 1 cm = 8 ft, how do you convert cm to feet?

Back

Multiply the number of cm by 8 to get the measurement in feet.

Front

What is the relationship between scale factor and area?

Back

If the scale factor is k, the area is multiplied by k².

Front

If a triangle is similar to another triangle, what does that mean?

Back

It means the triangles have the same shape but may differ in size; their corresponding angles are equal and sides are in proportion.

Front

What is the perimeter of a rectangle with length 5 cm and width 3 cm?

Back

Perimeter = 2(length + width) = 2(5 + 3) = 16 cm.

Front

If a drawing shows a road that is 2 inches long with a scale of 1 inch to 5 miles, how long is the actual road?

Back

The actual road is 10 miles long (2 inches x 5 miles/inch).

Front

What happens to the perimeter of a shape if the scale factor is 1/2?

Back

The perimeter will be half of the original perimeter.