Answer:
[tex]New\ Lengths = (14,21)[/tex]
[tex]New\ Scale\ Factor = \frac{1}{7}[/tex]
Step-by-step explanation:
Given
Rectangle:
Length = 2 in
Width = 3 in
Scale Factor = 7
Solving (a):
The side lengths of the new scale is calculated as follows;
New Lengths = Old Lengths * Scale Factor
[tex]New\ Lengths = (2,3) * 7[/tex]
[tex]New\ Lengths = (2 * 7,3* 7)[/tex]
[tex]New\ Lengths = (14,21)[/tex]
Solving (b): To go back to the original length
Given that the initial scale factor is 7;
The new scale factor is the reciprocal of the old factor;
Hence;
[tex]New\ Scale\ Factor = \frac{1}{7}[/tex]
