[Math] Find the distance between two parallel side of a rhombus

geometry

At first sight, this problem seems pretty straight forward, but I can't get an easy answer for it. Can anyone help me on this? Thank you in advance!

The area of a rhombus is 32 √ 2 and its perimeter is 32. Find the distance between two parallel sides.

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Best Answer

Perimeter is 32 means each side is 8.

The area of a rhombus is side * h

Where height h is the distance between the side you're considering and the opposite side ( here it happens to be what you want to calculate ! )

So now you now that :

8 * h = 32 * sqrt(2)

Which leads to :

h = 4 * sqrt ( 2 )

Useless Edit : YEAH my first validated answer =)

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