Question

A rhombus is enlarged and has a new perimeter of 40 feet. If the original perimeter was 10 feet, by what factor was the rhombus enlarged?

Answer 1

If the original perimeter was 10 and it is now 40, then the rhombus was enlarged by a scale factor of 4.

Answer 2

Answer: The rhombus was enlarged by scale factor of 4.

Explanation:

We know that the scale factor is the ratio of the new image to the original image.

Let k be the scale factor, then

`k=\frac{\text{Perimeter of new rhombus}}{\text{perimeter of original rhombus}}\\\\\Rightarrow\ k=(40)/(10)\\\\\Rightarrow\ k=4`

Therefore, the rhombus was enlarged by scale factor of 4.