Simply divide the second area by the first area (scale
factor can be an integer or a fraction). Given lengths
of a the sides of a rectangle, if the sides are multiplied
by a factor of "k", the corresponding areas are are
multiplied by "k2".
For example, given a rectangle of sides 3"x5". Area is 15in2.
Let's double the side lengths (k=2) to 6"x10". Area is
now 60in2.
60/15=4.......the scale factor (or k2) for area is 4, or 22.
Try several more examples by tripling (k=3) or quadrupling
(k=4) the 3"x5" original rectangle side lengths and determining
the corresponding scale factors for area. You should see a
pattern.
factor can be an integer or a fraction). Given lengths
of a the sides of a rectangle, if the sides are multiplied
by a factor of "k", the corresponding areas are are
multiplied by "k2".
For example, given a rectangle of sides 3"x5". Area is 15in2.
Let's double the side lengths (k=2) to 6"x10". Area is
now 60in2.
60/15=4.......the scale factor (or k2) for area is 4, or 22.
Try several more examples by tripling (k=3) or quadrupling
(k=4) the 3"x5" original rectangle side lengths and determining
the corresponding scale factors for area. You should see a
pattern.