Question

rectangle defg is similar to rectangle lmnp. what is the scale factor of a dilation from lmnp to defg? enter your answer as a decimal in the box.

Explanation:

Step1: Identify corresponding sides

For similar rectangles, corresponding sides are proportional. Let's take the length of DE (15 m) and LM (6 m), or DG (10 m) and LP (4 m).

Step2: Calculate scale factor

Scale factor from LMNP to DEFG is \(\frac{\text{length of DEFG}}{\text{length of LMNP}}\). Using DG (10 m) and LP (4 m): \(\frac{10}{4} = 2.5\) or using DE (15 m) and LM (6 m): \(\frac{15}{6} = 2.5\).

Answer:

2.5