# 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.

Correct result:

a =  12 m
b =  15 m

#### Solution:

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

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