It is its vertical perpendicular height
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Perimeter = 4*Side so that Side = Perimeter/4 Area of a rhombus = Side * Altitude so Altitude = Area/Side = Area/(Perimeter/4) = 4*Area/Perimeter
The rhombus has four sides of equal length, so you just multiply any of the sides by 4.
With perimeter 10 and all sides equal fora rhombus, each side (base) is 10/4 = 2.5 inch Area = base times altitude = 2.5 x 12 = 30
If the side is 11 then the perimeter is 44.The altitude is irrelevant. It can be anything less than 11, with no effect on the perimeter.