AMC 8, 2020, Problem Marathon

[Arisha Roy]

Solution:

Let the side length of \(S_1\), \(S_2\), \(S_3\) is \(s_1\), \(s_2\), \(s_3\) respectively.

Then, from the diagram, length of the rectangle will be,

\(s_1+s_2+s_3=3322\)....(i).

Similarly, breadth of rectangle will be \(s_1-s_2+s_3=2020\)........(ii).

Subtracting equation (ii) from equation (i) we get,

\(2 s_2=1302\), and thus \(s_2= 651\) .

• This reply was modified 1 year, 4 months ago by Arisha Roy.

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