Area of Scaled Copies

Flashcards reviewing key terms and area calculations for scaled copies from the lecture notes.

Scale Factor

A factor by which all linear dimensions of an original figure are multiplied to create a scaled copy.

Area of a Scaled Copy Formula

The mathematical relationship used to find the area of a scaled figure: $\text{Scaled Area} = \text{Original Area} \times (\text{scale factor})^2$.

Scaled Copy Area (Scale Factor $2.5$)

For an original $2 \times 3$ rectangle with an area of $6$, scaling by a factor of $2.5$ yields side lengths of $5$ and $7.5$, resulting in an area of $37.5$ ($6 \times (2.5)^2 = 37.5$).

Scaled Copy Area (Scale Factor $4$)

For an original $2 \times 3$ rectangle with an area of $6$, scaling by a factor of $4$ yields side lengths of $8$ and $12$, resulting in an area of $96$ ($6 \times 4^2 = 96$).