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# help

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A rhombus ha a perimeter of 80 meters and the length of one diagonal is 24 meters.find the area of the rhombus

Jan 31, 2020

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A rhombus ha a perimeter of 80 meters and the length of one diagonal is 24 meters.find the area of the rhombus.

Hello Guest!

$$A_{Rh}=2\cdot (\frac{1}{2}\cdot 24\ m\cdot h)\\ h=\sqrt{(\frac{80}{4})^2-(\frac{24}{2})^2}\ m\\ h=16\ m$$

$$A_{Rh}=2\cdot (\frac{1}{2}\cdot 24\ m\cdot 16\ m)$$

$$A_{Rh}=384\ m^2$$

!

Feb 1, 2020