Rectangle measurements

Calculate the shorter side and the diagonal of the rectangle if one side is 2 cm longer than the other and its circumference is equal to 70 centimeters.

Final Answer:

a =  16.5 cm
u =  24.7891 cm

Step-by-step explanation:

$$\begin{gathered} o=70\text{cm} \\ b=a+2 \\ 2(a+b)=o=70 \\ a+(a+2)=o/2 \\ a+(a+2)=70/2 \\ 4a=66 \\ a=\frac{66}{4}=16.5=16.5\text{cm} \\ a=\frac{33}{2}=16.5 \\ b=a+2=16.5+2=\frac{37}{2}=18.5\text{cm} \end{gathered}$$

$u=\sqrt{a^2+b^2}=\sqrt{16.5^2+18.5^2}=24.7891\text{cm}$

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