Respuesta :

Answer:

A

Step-by-step explanation:

Since the triangles are similar then the ratio of corresponding sides = a : b

and ratio of areas = a² : b²

Here the ratio of areas = 7 : 28 = 1 : 4, hence

ratio of sides = [tex]\sqrt{1}[/tex] : [tex]\sqrt{4}[/tex] = 1 : 2

Hence

XY = 2 × DE = 2 × 4 = 8 cm

Cutiepatutie

The answer is XY=2*DE=2*4=8cm, in summary, eight cenimeters.

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