# 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:

$a = 25 \ mm = 25 / 1000 \ m = 0.025 \ m \ \\ b = 28 \ mm = 28 / 1000 \ m = 0.028 \ m \ \\ \ \\ a_{ 1 } = 1000 \cdot \ a = 1000 \cdot \ 0.025 = 25 \ m \ \\ b_{ 1 } = 1000 \cdot \ b = 1000 \cdot \ 0.028 = 28 \ m \ \\ S_{ 1 } = a_{ 1 } \cdot \ b_{ 1 } = 25 \cdot \ 28 = 700 \ m^2 \ \\ \ \\ S = S_{ 1 } \rightarrow a = S_{ 1 } / 100 \ a = 7 \ a = 7 \ \text{ a }$

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Ratio 1.2.3.4. Find area in rectangle

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