Question

What will be the side length of a regular pentagon if it goes through a dilation transformation with a scale factor of 2.8? The side length of the preimage is 8 units.

• A. 18.6 units
• B. 20.6 units
• C. 24.6 units
• D. 22.4 units

Answer 1

The correct option is D 22.4 units

It is given that the side length of a regular pentagon is 8 units.
Scale factor = 2.8
$\Rightarrow 2.8=\frac{\text{Side length of image}}{8}(\text{As scale factor}=\frac{\text{Side length of image}}{\text{Corresponding side length of preimage}}$

$\Rightarrow$ Side length of the image $=8\times 2.8=22.4$

Hence, the side length of the dilated pentagon is 22.4 units.

➡Option A is correct.