The area of the rhombus is 63 and the perimeter is 36. Find the height of the rhombus

Since ABCD is a rhombus, the lengths of all its sides are equal.

Knowing the perimeter of the rhombus, we determine the lengths of its sides.

AB = BC = CD = AD = P / 2 = 36/4 = 9 cm.

Using the formula for the area of a rhombus, we determine the length of its height.

Savsd = AD * BH.

BН = Savsd / АD = 63/9 = 7 cm.

Answer: The height of the rhombus is 7 cm.



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