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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?

Verified Answer :

lightworm

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

JeanaShupp

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

Step-by-step 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

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

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

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