Answer:
A = 8
Step-by-step explanation:
[tex]A = a^{2} \\\\a^{2} + b^{2} = c^{2} \\\\a = b \\------\\\\a^{2} + a^{2} = c^{2} \\\\2 * a^{2} = c^{2} \\\\a = \sqrt{\frac{c^{2}}{2} } \\\\a = \sqrt{\frac{4^{2}}{2} } \\\\a = \sqrt{\frac{16}{2} } \\\\a = \sqrt{8} \\\\\\A = a^{2} = (\sqrt{8})^{2} = 8[/tex]
