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? 80 units 10 units 20 units 40 units clear my selection

Explanation:

Step1: Recall the property of dilation on perimeter

When a figure is dilated by a scale factor \(k\), the perimeter of the dilated figure is \(k\) times the perimeter of the original figure.

Step2: Apply the formula

Given the original perimeter \(P = 40\) units and the scale factor \(k=\frac{1}{2}\). The formula for the perimeter of the dilated figure \(P'\) is \(P'=k\times P\). Substitute \(k = \frac{1}{2}\) and \(P = 40\) into the formula: \(P'=\frac{1}{2}\times40\).

Step3: Calculate the result

\(\frac{1}{2}\times40 = 20\)

Answer:

20 units