Deltamath test

quaderatil GHIJ is simalar to quaderatieral KLMN. Find LM Round your answer to the nearest tenth if necessary. Figures are not drawn to scale.

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I x. L
J. 21 M
13
G. H N 57 K

Using the similarity of the two quadrilaterals, we can set up the following proportion:

LM/GH = KL/IJ

Substituting the given values:

LM/13 = 57/21

Solving for LM:

LM = 13 * 57 / 21

LM ≈ 35.86

Rounded to the nearest tenth, LM ≈ 35.9.