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Example Questions
Example Question #1 : How To Find The Area Of A Rhombus
This figure is a rhombus with a side of 8 in.
What is the area of the rhombus (in2)?
Not enough information
Not enough information
In order to determine the area of a rhombus you either need a base and a height OR the length of the two diagonals OR the base and an angle. Because we are only given the base with no information about the height, there is not enough information to determine the area of the rhombus.
Example Question #2 : How To Find The Area Of A Rhombus
Find the area of the following rhombus:
The perimeter of the rhombus is .
The formula for the perimeter of a rhombus is:
Where is the length of the side
Plugging in our values, we get:
The formula for the area of a rhombus is:
Where is the length of one diagonal and
is the length of another diagonal
By drawing the diagonals, we create a right triangle with the hypotenuse as and the side as
.
Since we know that is a phythagorean triple, we can infer that the third side is
.
Plugging in our values, we get:
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