Question

A rectangle has a width of 3 cm and a length of 10 cm.

What is the effect on the perimeter when the dimensions are multiplied by 10?

A.The perimeter is increased by a factor of 10.

B.The perimeter is increased by a factor of 40.

C.The perimeter is increased by a factor of 100.

D.The perimeter is increased by a factor of 400.

Answer 1

I believe your answer would be C.

Hope this helps you out

Answer 2

Answer: A. The perimeter is increased by a factor of 10.

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

⇒
`\frac{\text{New perimeter}}{\text{ Initial perimeter}} = (260)/(26) = 10`

⇒
`\text{New perimeter} = 10* \text{ Initial perimeter}`

Hence, the perimeter is increased by the scale factor 10.

⇒ Option A is correct.