Rounding

What width and length in centimeters may have rectangle land when round the dimensions to the meter, the width is 5 m and length 7 meters?

Final Answer:

x₁ =  450 cm
x₂ =  549.999 cm
y₁ =  650 cm
y₂ =  749.999 cm

Step-by-step explanation:

$$\begin{gathered} a=5\text{m}\to \text{cm}=5\cdot 100\text{cm}=500\text{cm} \\ b=7\text{m}\to \text{cm}=7\cdot 100\text{cm}=700\text{cm} \\ \alpha =50 \\ \beta =\alpha -0.001=50-0.001=49.999 \\ {x}_1=a-\alpha =500-50=450\text{cm} \end{gathered}$$

$x_2=a+\beta =500+49.999=549.999\text{cm}$

$y_1=b-\alpha =700-50=650\text{cm}$

$y_2=b+\beta =700+49.999=749.999\text{cm}$

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