[tex] \large\underline \bold{{SOLUTION}}[/tex]
Applying the formula of getting the area of a kite:
[tex]\longmapsto\sf{A = \frac{d_1×d_2}{2}}[/tex]
[tex]\longmapsto\sf{176 = \frac{16×d_2}{2}}[/tex]
[tex]\longmapsto\sf{176(2) = 16×d_2}[/tex]
[tex]\longmapsto\sf{352 = 16×d_2}[/tex]
[tex]\longmapsto\sf{\frac{352}{16}= d_2}[/tex]
[tex]\longmapsto\boxed{\sf{22= d_2}}[/tex]
[tex] \large\underline{ \bold{ANSWER}}[/tex]