Respuesta :

Answer:

4

Step-by-step explanation:

The diagonals are equal length:

[tex]6x - 14 = 8x - 20\\-2x = -6\\x = 3[/tex]

[tex]BD = 6x - 14\\BD = 6 * 3 - 14\\BD = 18 - 14\\BD = 4[/tex]

The length of diagonal BD in rectangle ABCD is 4 units.

Rectangle

A rectangle is a quadrilateral (has four sides and four angles) in which opposite sides are parallel and equal to each other. All the angles of a rectangle measure 90 degrees.

The diagonals of a rectangle are equal to each other.

AC = BD (diagonals of rectangle are equal)

6x - 14 = 8x - 20

2x = 6

x = 3

BD = 6(3) - 14 = 4 units

The length of diagonal BD in rectangle ABCD is 4 units.

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