# A right triangle has sides A, B, and C. Side A is the hypotenuse and side B is also a side of a rectangle. Sides A, C, and the side of the rectangle adjacent to side B have lengths of 9/8 , 4/5 , and 15 , respectively. What is the rectangle's area?

Area of rectangle is $11.865$.
As A =$\frac{9}{8}$ is hypotenuse and one side C is $\frac{4}{5}$, second side B is given by $\sqrt{{\left(\frac{9}{8}\right)}^{2} - {\left(\frac{4}{5}\right)}^{2}}$ or $\sqrt{\frac{81}{64} - \frac{16}{25}} = \sqrt{1.265625 - 0.64}$ or $\sqrt{0.625625} = 0.791$.
Hence rectangle's two sides are $0.791$ and $15$. Hence
Area is $0.791 \cdot 15 = 11.865$.