# 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 , 4 , and 7 , respectively. What is the rectangle's area?

Area of Rectangle is $56.42 \left(2 \mathrm{dp}\right) u n i t {s}^{2}$
A=9 ; C=4 ; B=sqrt(A^2-C^2)=sqrt(9^2-4^2)=8.06; B is a side of rectangle and it's adjacent side $D = 7 \therefore$ Area of Rectangle is $= 8.06 \cdot 7 = 56.42 \left(2 \mathrm{dp}\right)$ sq.units[Ans]