Question

show what you know
david created and measured several scaled copies of figure a.
what is the perimeter of a scaled copy that has a top side length
of 6.5?

Explanation:

Step1: Find the ratio of top side lengths

The original top - side length is \(2\) units. The new top - side length is \(6.5\) units. The ratio \(r=\frac{6.5}{2}=3.25\)

Step2: Use the ratio to find the new perimeter

We know that for similar figures (scaled copies), if the ratio of corresponding side lengths is \(r\), the ratio of perimeters is also \(r\). The original perimeter when the top - side length is \(2\) is \(20\) units.
Let \(P\) be the new perimeter. Then \(P = 20\times r\)

Substitute \(r = 3.25\) into the formula: \(P=20\times3.25\)

$$P = 65$$

Answer:

\(65\)