Plan of the village

The plan of the municipality in 1:1000 scale has plotted garden with dimensions 25 mm and 28 mm. Determine the area of gardens in ares in reality.

Correct answer:

S =  7 a

Step-by-step explanation:

$$\begin{gathered} M=1000 \\ a=25\text{mm}\to \text{m}=25:1000\text{m}=0.025\text{m} \\ b=28\text{mm}\to \text{m}=28:1000\text{m}=0.028\text{m} \\ A=a\cdot M=0.025\cdot 1000=25 \\ B=b\cdot M=0.028\cdot 1000=28 \\ {S}_1=A\cdot B=25\cdot 28=700{\text{m}}^2 \\ S=S_1\to \text{a}=S_1:100\text{a}=700:100\text{a}=7\text{a}=7\text{a} \end{gathered}$$

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