# Map scale

Garden has on plan on a scale of 1: 150 width 22 cm and length 35 cm. What is the real area of the garden?

Result

S =  1732.5 m2

#### Solution:

$a = 22 \ cm = 22 / 100 \ m = 0.22 \ m \ \\ b = 35 \ cm = 35 / 100 \ m = 0.35 \ m \ \\ \ \\ S = a \cdot \ b \cdot \ 150^2 = 0.22 \cdot \ 0.35 \cdot \ 150^2 = \dfrac{ 3465 }{ 2 } = 1732.5 = 1732.5 \ m^2$

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