SOLUTION: A rhombus has a perimeter of 80 meters and the length of one diagonal is 24 meters. Find the area of the rhombus.

Question 187460This question is from textbook
: A rhombus has a perimeter of 80 meters and the length of one diagonal is 24 meters. Find the area of the rhombus. This question is from textbook

Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!

For the Area of a Rhombus, we take "half" of the product of the diagonals.
But we need to know the length of the sides which will be very helpful.
Knowing Perimeter we get--->
---->
. *All Equal sides
Given one of the diagonal=24meters,
Let's see the illustration below:

Given: BD=BE+ED=12+12=24meters; AC=AE+EC *note AE=EC

As you see we can get AE or EC by Pyth Theorem since it forms a Right Triangle:

Therefore, Diagonal,

In conclusion, as we noted above, we take "half" of the product of the Diagonals: A=(1/2)(AC)(BD)=(1/2)(32m)(24m)=384sq.meter

Thank you,
Jojo
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