The area of a rectangular ballroom is 800 m squared and the perimeter is 120 m What are the dimensions of the ballroom?

Perimeter = 2*(L + B) = 120

So L + B = 60 and therefore B = 60 - L.

Area = 800 = L*B = L*(60 - L)

So L2 - 60L + 800 = 0

=> (L - 20)*(L - 40) = 0

and so L = 20 or L = 40

When L = 20, B = 40 and

when L = 40, B = 20.

So the dimensions are 40m x 20m.