# Area of rectangle

How many times will increase the area of the rectangle, if we increase twice the length and at the same time we decrease the width by the half?

Result

n =  1

#### Solution:

$a_{2}=2a \ \\ b_{2}=b/2=0 \ \\ \ \\ S_{1}=a \cdot \ b \ \\ S_{2}=a_{2} \cdot \ b_{2}=2a \cdot \ b/2=a \cdot \ b \ \\ \ \\ S_{1}=S_{2} \ \\ n=1$

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