Calculate Area and Scaling Factors

Front

What is the formula for calculating the area of a rectangle?

Back

Area = length × width.

Front

If a rectangle has a length of 6 cm and a width of 3 cm, what is its area?

Back

18 cm².

Front

What happens to the area of a shape when it is scaled by a factor of 1/2?

Back

The area is reduced to 1/4 of the original area.

Front

What happens to the area of a shape when it is scaled by a factor of 2?

Back

The area becomes 4 times larger than the original area.

Front

If a rectangle has an area of 40 cm² and is scaled by a factor of 3, what is the area of the scaled rectangle?

Back

120 cm².

Front

If a rectangle has an area of 40 cm² and is scaled by a factor of 10, how many times larger is the area of the copy?

Back

100 times larger.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity.

Front

If a rectangle is scaled by a factor of 1/2, what is the area of the scaled rectangle if the original area is 36 cm²?

Back

9 cm².

Front

How do you find the area of a scaled copy of a rectangle?

Back

Multiply the original area by the square of the scale factor.

Front

If a rectangle has an area of 40 cm² and is scaled by a factor of 2, what is the area of the scaled rectangle?

Back

160 cm².