Area of garden

If the width of the rectangular garden is decreased by 2 meters and its length is increased by 5 meters, the area of the rectangle will be 0.2 ares larger. If the width and the length of the garden will increase by 3 meters, its original size will increase by 0.9 ares. Find the dimensions of the garden.

Result

a =  12 m
b =  15 m

Solution:

$(a-2) \cdot \ (b+5) = ab + 0.2 \cdot \ 100 \ \\ (a+3) \cdot \ (b+3) = ab + 0.9 \cdot \ 100 \ \\ \ \\ \ \\ 5a - 2b = 30 \ \\ a+b = 27 \ \\ \ \\ 5a-2b = 30 \ \\ a+b = 27 \ \\ \ \\ a = 12 \ \\ = 12 \ \text{ m } \ \\ b = 15 \ \\$
$b = 15 = 15 \ \text{ m }$

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