Answer: A. The perimeter is increased by a factor of 10.
Step-by-step explanation:
The width of the rectangle = 3,
Length of the rectangle = 10,
Thus, the initial perimeter of the rectangle = 2(3+10) = 2(13) = 26
After the dimensions are multiplied by 10,
The new width of the rectangle = 30,
Length of the rectangle = 100,
Thus, the new perimeter of the rectangle = 2(30+100) = 2(130)=260
⇒ [tex]\frac{\text{New perimeter}}{\text{ Initial perimeter}} = \frac{260}{26} = 10[/tex]
⇒ [tex]\text{New perimeter} = 10\times \text{ Initial perimeter}[/tex]
Hence, the perimeter is increased by the scale factor 10.
⇒ Option A is correct.
