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Answer :

The area of a kite when both diagonals are given is

[tex]\text{Area}=\frac{diagona1\times diagonal2}{2}[/tex]

In our case, diagonal1=38 units and diagonal2=19. By substituting these values, we get

[tex]\text{Area}=\frac{38\times19}{2}[/tex]

which gives

[tex]\begin{gathered} A=\frac{722}{2} \\ A=361 \end{gathered}[/tex]

then, the ares is 361 units^2