Garden

A rectangular garden 31 meters 40 centimeters long and 20m³⁰cm wide is adjacent to the shorter side with another (fenced) garden, and on one longest side is a 1-meter wide gate. How many meters of the fence are needed to buy? (Estimate, calculate, and verify a test calculation, rounded to meters).

Correct answer:

x =  83 m

Step-by-step explanation:

$$\begin{gathered} a=3140\text{cm} \\ b=2030\text{cm} \\ c=2\cdot a+b-100=2\cdot 3140+2030-100=8210\text{cm} \\ {c}_2=c\to \text{m}=c:100\text{m}=8210:100\text{m}=82.1\text{m} \\ x=\lceil c_2\rceil =\lceil 82.1\rceil =83\text{m} \end{gathered}$$

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