We must find the length of one side of the new square.
Step one
The area of the square is 64. We know that the is of a rectangle is given by n x n, so:
[tex]n\times n=64.[/tex]
The value of n is a number that multiplied by itself gives us 64, that number is 8, so we have:
[tex]n=8.[/tex]
Step two
The length of one side of the new square is obtained by multiplying the original length 8 by the scale factor 3/2, which gives us:
[tex]8\times\frac{3}{2}=\frac{8\times3}{2}=\frac{24}{2}=12.[/tex]
Answer
[tex]\begin{gathered} n=8, \\ 8\times\frac{3}{2}=12. \end{gathered}[/tex]
