# 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 5 , 2 , and 1 , respectively. What is the rectangle's area?

Area of rectangle $= 4.58 \left(2 \mathrm{dp}\right)$ sq.unit
Hypotenuse $A = 5$ ;Side $C = 2 \therefore$ Side $B = \sqrt{{5}^{2} - {2}^{2}} = \sqrt{21}$
So the adjacent sides of rectangle are $\sqrt{21} , 1 \therefore$Area of rectangle $= \sqrt{21} \cdot 1 = \sqrt{21} = 4.58 \left(2 \mathrm{dp}\right)$sq.unit[Ans]