Respuesta :

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The formula for the area of a rhombus is [tex]A = \frac{pq}{2}[/tex] where p and q are the measurements of the diagonals of the rhombus.
[tex]\overline{EL}[/tex] and [tex]\overline{KE}[/tex] are each half of the diagonals we need. Because a Rhombus is symmetrical, we can double each of these to find the full measurements of the diagonals.

[tex]A = \frac{6.0(2) * 8.5(2)}{2} [/tex]
[tex]A = \frac{12 * 17}{2} [/tex]
[tex]A = \frac{204}{2} [/tex]

[tex]A = \frac{204}{2} [/tex]
[tex]A = 102cm^2 [/tex]

Therefore the answer is [tex]102cm^2[/tex].

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