Question

7 multiple choice 1 point a figure has a perimeter of 40 units. which of the following describes the perimeter after the figure is dilated by a scale factor of 1/2? 10 units 40 units 80 units 20 units clear my selection

Explanation:

Step1: Recall the effect of dilation on perimeter

When a figure is dilated by a scale factor \(k\), the perimeter of the dilated figure \(P_{new}\) is related to the original perimeter \(P_{old}\) by the formula \(P_{new}=k\times P_{old}\). Here, \(k = \frac{1}{2}\) and \(P_{old}=40\) units.

Step2: Calculate the new perimeter

Substitute the values into the formula: \(P_{new}=\frac{1}{2}\times40\).
Using the multiplication operation \(\frac{1}{2}\times40=\frac{40}{2}=20\).

Answer:

20 units