Question

the polygons are similar, but not necessarily drawn to scale. find the value of x.
110
330
27.5
11.2

Explanation:

Step1: Use the property of similar polygons

For similar polygons, the ratios of corresponding sides are equal. So, \(\frac{AD}{JM}=\frac{CD}{LM}\).

Step2: Substitute the given values

We know \(AD = 12\), \(JM=55\), \(CD = 6\), and \(LM=x\). Substituting into the ratio \(\frac{12}{55}=\frac{6}{x}\).

Step3: Cross - multiply

Cross - multiplying gives \(12x=55\times6\).

Step4: Solve for \(x\)

First, calculate \(55\times6 = 330\). Then, \(x=\frac{330}{12}= 27.5\).

Answer:

\(27.5\)