The perimeter of a rectangle changes from 2.5 to 10 after a dilation. What was the scale factor of the dilation?

Mathematics

2 answers:

julsineya [31]4 years ago

8 0

Answer:

B. 4

Step-by-step explanation:

Let x be the scale factor of the given dilation.

We have been given that the perimeter of a rectangle changes from 2.5 to 10 after a dilation. We are asked to find the scale factor of dilation.

The scale factor multiplied by the original side gives the length of new side after dilation, so we can set an equation as:

$\text{Original length }\cdot \text{Scale factor}=\text{New length after dilation}$

Upon substituting our given values in above equation we will get,

$2.5\cdot x=10$

Upon dividing both sides of our equation by 2.5 we will get,

$\frac{2.5\cdot x}{2.5}=\frac{10}{2.5}$

$x=4$

Therefore, the scale factor of the given dilation is 4 and option B is the correct choice.

yawa3891 [41]4 years ago

7 0

Scale factor = new length/old length

scale factor = 10/2.5 = 4

The scale factor is 4.

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irakobra [83]

Answer:

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<em>Comment on the problem statement</em>

Any value of x can be put into the formula and it will be a "solution." For example, f(0) = -6 is a "solution" to the polynomial function. The problem statement is not specific as to the solution(s) sought. We have had to guess that we want values of x such that f(x)=0.