Square garden

The plan with a scale of 1:1500 is drawn as a square garden with an area 64 cm². How many meters is the garden fence long? Determine the actual acreage gardens.

Final Answer:

o =  480 m
S₂ =  14400 m²

Step-by-step explanation:

$$\begin{gathered} M=1500 \\ {S}_1=64{\text{cm}}^2\to {\text{dm}}^2=64:100{\text{dm}}^2=0.64{\text{dm}}^2 \\ {S}_1=a_1{}^2 \\ {a}_1=\sqrt{S_1}=\sqrt{0.64}=\frac{4}{5}=0.8\text{dm} \\ {a}_2=a_1\to \text{m}=a_1:10\text{m}=0.8:10\text{m}=0.08\text{m} \\ {a}_3=M\cdot a_2=1500\cdot 0.08=120\text{m} \\ o=4\cdot a_3=4\cdot 120=480\text{m} \end{gathered}$$

$S_2=a_3^2=120^2=14400{\text{m}}^2$

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