Please consider the attached file.
We can see from attachment that sides of original rectangle are smaller than sides of new rectangle.
The new rectangle has a length of 30 feet and width of 6 feet.
To find the the length of original rectangle, we will divide sides of new rectangle by scale factor (6).
[tex]\text{Length of original rectangle}=\frac{30\text{ ft}}{6}[/tex]
[tex]\text{Length of original rectangle}=5\text{ ft}[/tex]
[tex]\text{Width of original rectangle}=\frac{6\text{ ft}}{6}[/tex]
[tex]\text{Width of original rectangle}=1\text{ ft}[/tex]
Therefore, the dimensions of original rectangle are 5 feet by 1 foot and option A is the correct choice.
