Diagonal to area

Calculate the area of a rectangle in which the length of the diagonal is 10 cm.

Correct answer:

S =  36.6606 cm²

Step-by-step explanation:

$$\begin{gathered} u=10\text{ cm } \\ a=4\text{ cm } \\ b=\sqrt{u^2-a^2}=\sqrt{10^2-4^2}=2\sqrt{21}\text{ cm}\doteq 9.1652\text{ cm } \\ S=a\cdot b=4\cdot 9.1652=8\sqrt{21}=36.6606{\text{cm}}^2 \end{gathered}$$

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