Question

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.

Answer 1

The perimeter is increased by a factor of 6

Proof:

Answer 2

Option A is the answer.

Step-by-step explanation:

The length is given as = 12 feet

The width is given as = 4 feet

So, perimeter =
`2(l+w)`

=
`2(12+4)`

Perimeter = 32 feet

when the dimensions are multiplied by 6, so length becomes =
`12*6=72` feet

width becomes=
`4*6=24` feet

So, new perimeter becomes=
`2(72+24)`

= 192 feet

Dividing the new perimeter with old one =
`(192)/(32)=6`

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