Respuesta :

Answer:

The perimeter of the rhombus is 20 cm

Step-by-step explanation:

Perimeter of a Rhombus

Given the lengths of the two diagonals of a rhombus, let's call them a and b,  the perimeter of the rhombus is given by:

[tex]P=2\sqrt{a^2+b^2}[/tex]

The values of the diagonals provided by the question are a=6 cm, b=8 cm, thus the perimeter is:

[tex]P=2\sqrt{6^2+8^2}[/tex]

[tex]P=2\sqrt{36+64}[/tex]

[tex]P=2\sqrt{100}=2*10[/tex]

[tex]P=20\ cm[/tex]

The perimeter of the rhombus is 20 cm