Question 1015954
The width can be x
The length can be 100-x
The perimeter is twice both or 2x+200-2x=200.
The area is x(100-x)=100x-x^2
That equals 2475 sq ft
-x^2+100x-2475=0
x^2-100x+2475=0, multiplying through by -1.
(x-45)(x-55)=0
x=45,55; width is 45 or 55
doesn't matter, because length is 45 or 55.  If we make width the smaller, the length and width are 55*45.  That gives the area and the perimeter.