We have the following:
The area of a rectangle is calculated by multiplying the width by the length, as follows
[tex]A=w\cdot l[/tex]w = 36 and l = 50
replacing:
[tex]\begin{gathered} A=36\cdot50 \\ A=1800 \end{gathered}[/tex]A scale factor means the value that each side really represents, that is, if 1 in the plane or drawing is actually 5 times larger
Therefore,
[tex]\begin{gathered} w=36\cdot5=180 \\ l=50\cdot5=250 \end{gathered}[/tex]now, the area then would be
[tex]\begin{gathered} A=180\cdot250 \\ A=45000 \end{gathered}[/tex]The other way is that the area obtained previously is multiplied by 25 (5 squared)
[tex]\begin{gathered} A=25\cdot1800 \\ A=45000 \end{gathered}[/tex]We can see that the same result is obtained in both ways.
