Question

determining a scale factor
consider the original parallelogram and the reduction.
what is the length of side a in the new parallelogram?

Explanation:

Step1: Find the scale factor

The original side length is \(45\) cm and the new side length is \(5\) cm. The scale factor \(k\) is found by dividing the new length by the original length.

$$k=\frac{5}{45}=\frac{1}{9}$$

Step2: Calculate the length of side \(A\)

The original side corresponding to \(A\) is \(18\) cm. Multiply this original length by the scale factor to get the new length.

$$A = 18\times\frac{1}{9}$$

$$A = 2$$

Answer:

\(2\) cm