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.

Result

S =  7 a

Solution:

a=25 mm=25/1000 m=0.025 m b=28 mm=28/1000 m=0.028 m  a1=1000⋅ a=1000⋅ 0.025=25 m b1=1000⋅ b=1000⋅ 0.028=28 m S1=a1⋅ b1=25⋅ 28=700 m2  S=S1→a=S1/100 a=7 a=7 aa=25 \ mm=25 / 1000 \ m=0.025 \ m \ \\ b=28 \ mm=28 / 1000 \ m=0.028 \ 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} \rightarrow a=S_{1} / 100 \ a=7 \ a=7 \ \text{a}

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Ratio 1.2.3.4. Find area in rectangle

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