Question

rectangle rbpc is similar to rectangle xlsq
which proportion shows the similarity between these two figures?
$$\frac{15.36}{25.6}=\frac{6.06}{15.36}$$
$$\frac{6.06}{10.1}=\frac{10.1}{25.6}$$
$$\frac{10.1}{25.6}=\frac{15.36}{6.06}$$
$$\frac{10.1}{6.06}=\frac{25.6}{15.36}$$

Explanation:

Step1: Recall the property of similar rectangles

For similar rectangles, the ratios of corresponding sides are equal.

Step2: Identify corresponding sides

In rectangle RBPC and XLSQ, \(6.06\) (side \(PC\)) corresponds to \(10.1\) (side \(SQ\)), and \(15.36\) (side \(BP\)) corresponds to \(25.6\) (side \(XL\)).

Step3: Set up the proportion

The proportion should be \(\frac{6.06}{10.1}=\frac{15.36}{25.6}\), which can be rewritten as \(\frac{10.1}{6.06}=\frac{25.6}{15.36}\) by cross - multiplying.

Answer:

\(\frac{10.1}{6.06}=\frac{25.6}{15.36}\)