Question

The lengths of the two diagonals of a rhombus are 6 cm and 8 cm. Find the length of its perimeter (in

Answer 1

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:

$P=2\sqrt{a^2+b^2}$

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

$P=2\sqrt{6^2+8^2}$

$P=2\sqrt{36+64}$

$P=2\sqrt{100}=2*10$

$P=20\ cm$

The perimeter of the rhombus is 20 cm