Question

A rectangular tablecloth has an area of 1085 in.^2. When it is draped over a square table, it hangs 5 in. over two opposite sides and 3 in. over the other two sides. Find the dimensions of the table.

Answer 1

1085=(x+2*5)(x+2*3)

(x+10)(x+6)=1085

x^2+16x+60=1085

x^2+16x-1025=0

x^2+41x-25x-1025=0

x(x+41)-25(x+41)=0

(x-25)(x+41)=0, since x>0, x=25 is the only reasonable solution.

The table is a 25" square.