Area of triangle
= (1/2) x base x height
= (1/2) x 15 x 32
= 240 ft^2 (Sorry, I use the metrical system so I don't know what's the unit)
Let the point where the line in the middle of the triangle touches the bottom end of the triangle be A
From A to the right vertice (or corner) of the triangle, the length is, using pythagoras theorem,
= √((43)^2 - (32)^2)
= √825
Length of other side of triangle, using pythagoras theorem
= √((32)^2 + (15 - √825)^2)
(Sorry I don't have a calculator now so I can't calculate this out, so we'll call this X)
Therefore, perimeter
= 15 + 43 + (that whole chunk up there called X)