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3 years ago

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

Mathematics

1 answer:

adelina 88 [10]3 years ago

3 0

Answer:

<em>The perimeter of the rhombus is 20 cm</em>

Step-by-step explanation:

<u>Perimeter of a Rhombus</u>

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

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