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Mathematics

The perimeter of a rhombus is 46 cm. If the height of the rhombus is 8 cm; find its area.

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Answer

Given:

Perimeter of the rhombus = 46 cm

Height of the rhombus = 8 cm

Let a be the length of a side of the rhombus.

Perimeter = 4 x Side

⇒ 46 = 4 x a

⇒ a = 464\dfrac{46}{4}

⇒ a = 11.5 cm

Area = base x height

= 11.5 x 8 cm2

= 92 cm2

Hence, the area of the rhombus is 92 cm2.

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