# 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 15 , 2 , and 9 , respectively. What is the rectangle's area?

The area of the rectangle is $133.79 \left(2 \mathrm{dp}\right)$ sq.unit
A=15; C=2 :. B= sqrt(15^2-2^2)=sqrt 221 :.B is a side of rectangle and $D = 9$ is other side of recangle. The area of the rectangle: ${A}_{r} = 9 \cdot \sqrt{221} = 133.79 \left(2 \mathrm{dp}\right)$sq.unit[Ans]