Scale of plan

On the plan of the village in the scale of 1: 1000 a rectangular garden is drawn. Its dimensions on the plan are 25mm and 28mm. Determine the area of the garden in ares.

Correct answer:

S =  7 a

Step-by-step explanation:

$$\begin{gathered} a=25\text{mm}\to \text{m}=25:1000\text{m}=0.025\text{m}\text{m} \\ b=28\text{mm}\to \text{m}=28:1000\text{m}=0.028\text{m}\text{m} \\ {a}_1=1000\cdot a=1000\cdot 0.025=25\text{m} \\ {b}_1=1000\cdot b=1000\cdot 0.028=28\text{m} \\ {S}_1=a_1\cdot b_1=25\cdot 28=700{\text{m}}^2 \\ S=S_1\to \text{a}=S_1:100\text{a}=700:100\text{a}=7\text{a}=7\text{a} \end{gathered}$$

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