4. If the lengths of two diagonals of a rhombus
are 16 cm and 30 cm, find the area and the
length of the side of the rhombus.
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D1 of the rhombus = 16 cm
D2 of the rhombus = 30 cm
Area = 1/2 × D1 × D2
= 1/2 × 16 × 30
= 240 sq. cm
We know that diagonals of a rhombus bisect each other.
so, AO = 30/2 = 15 cm
BO = 16/2 = 8 cm
AB = √(AO^2 + BO^2)
√15^2 + 8^2
√225 + 64
√289
√17×17
AB = 17 cm
Hence , the area of the rhombus is 240 sq. cm and the length of its side is 17 cm .
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