Answer:
The perimeter is increased by a factor of 12.
Option (a) is correct .
Step-by-step explanation:
Formula
Perimeter of a rectangle = 2 (Length + Breadth)
As given
A rectangle has a length of 12 millimeters and a width of 17 millimeters.
Perimeter of a rectangle = 2 × (12 + 17)
= 2 × 29
= 58 millimeters ²
As given
when the dimensions are multiplied by 12 .
New Length = 12 × 12
= 144 millimeter
New Breadth = 17 × 12
= 204 millimeter
Thus
New Perimeter of a rectangle = 2 × (144 + 204)
= 2 × 348
= 696 millimeter²
[tex]\frac{New\ perimeter\ of\ a\ rectangle}{Perimeter\ of\ a\ rectangle} = \frac{696}{58}[/tex]
[tex]\frac{New\ perimeter\ of\ a\ rectangle}{Perimeter\ of\ a\ rectangle} = 12[/tex]
Therefore the perimeter is increased by a factor of 12.
Option (a) is correct .
