A rectangle has a width of 12 ft and a length of 4 ft.


What is the effect on the perimeter when the dimensions are multiplied by 6?



The perimeter is increased by a factor of 6.


The perimeter is increased by a factor of 24.


The perimeter is increased by a factor of 96.


The perimeter is increased by a factor of 192.

Respuesta :

Option A is the answer.

Explanation:

The length is given as = 12 feet

The width is given as = 4 feet

So, perimeter = [tex]2(l+w)[/tex]

= [tex]2(12+4)[/tex]

Perimeter = 32 feet

when the dimensions are multiplied by 6, so length becomes = [tex]12\times6=72[/tex] feet

width becomes= [tex]4\times6=24[/tex] feet

So, new perimeter becomes= [tex]2(72+24)[/tex]

= 192 feet

Dividing the new perimeter with old one = [tex]\frac{192}{32}=6[/tex]

Hence, The perimeter is increased by a factor of 6.  


bweh

Answer:

The perimeter is increased by a factor of 6

Proof:

Ver imagen bweh