Rectangular 63094

Calculate the perimeter and the area of a rectangular garden if the diagonal length is 18 m long and one of the sides of the garden is 9m long.

Correct answer:

o =  49.1769 m
S =  140.2961 m²

Step-by-step explanation:

$$\begin{gathered} u=18\text{m} \\ a=9\text{m} \\ {u}^2=a^2+b^2 \\ b=\sqrt{u^2-a^2}=\sqrt{18^2-9^2}=9\sqrt{3}\text{m}\doteq 15.5885\text{m} \\ o=2\cdot (a+b)=2\cdot (9+15.5885)=49.1769\text{m} \end{gathered}$$

$S=a\cdot b=9\cdot 15.5885=81\sqrt{3}=140.2961{\text{m}}^2$

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