# Garden

The garden has a rectangular shape with lengths of 25 and 40 meters. It has been expanded so that each of its size increased by one fifth. How many square meters increased its acreage?

Result

x =  440 m2

#### Solution:

$a = 25 \ m \ \\ b = 40 \ m \ \\ S_{ 1 } = a \cdot \ b = 25 \cdot \ 40 = 1000 \ m^2 \ \\ \ \\ q = 1+\dfrac{ 20 }{ 100 } = \dfrac{ 6 }{ 5 } = 1.2 \ \\ a_{ 2 } = a \cdot \ q = 25 \cdot \ 1.2 = 30 \ m \ \\ b_{ 2 } = b \cdot \ q = 40 \cdot \ 1.2 = 48 \ m \ \\ \ \\ S_{ 2 } = a_{ 2 } \cdot \ b_{ 2 } = 30 \cdot \ 48 = 1440 \ m^2 \ \\ \ \\ x = S_{ 2 } - S_{ 1 } = 1440 - 1000 = 440 = 440 \ m^2$

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