How to find the length of the side of a rhombus - ISEE Upper Level Mathematics Achievement

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Question

A rhombus has a perimeter of . Give the side length of the rhombus.

Answer

Like any polygon, the perimeter of the rhombus is the total distance around the outside, which can be found by adding together the length of each side. In the case of a rhombus, all four sides have the same length, i.e.

,

where is the length of each side.

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Question

A rhombus has the area of . One of the interior angles is . Give the length of each side of the rhombus.

Answer

The area of a rhombus can be determined by the following formula:

,

where is the length of any side and is any interior angle.

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