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Rhombus ABCD has perimeter 160, and one of its diagonals has length 30. What is the area of ABCD?

 Sep 30, 2020
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1/  All sides of the rhombus are equal.

2/  The opposite sides of a rhombus are parallel.

3/  Opposite angles of a rhombus are equal.

4/  In a rhombus, diagonals bisect each other at right angles.

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Side  a = 160 / 4 = 40

 

1/2 of the diagonal is  30 / 2 = 15

 

sqrt(402 - 152) =  √1375

 

A = 2( 15 * √1375 )

 Sep 30, 2020

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