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I put together a quick and simple brute force algorithm, and the two numbers you are looking for are 211 and 1055.
211 * 5 = 1055.
1055 - 211 = 844
Set the width to be x. Thus, the length is 4x.
The perimeter is 2(x+4x)=100, so x=10.
Plugging in x=10, you get that 4x=40.
So, the area of the rectangle is 400 .
Because there are 100 centimeters in a meter and you are asking for area, you must multiply by to get 4000000 .