The base if one triangle is X/(root(2)) Therefore, the length of the rectangle is 60(root(2)) - X(root(2)).

Since the height of the triangle is also X/(root(2)), the area of the rectangle is (root(2))(60-X)(X)/root(2) = 60X-X^2

The area of both triangles together is BH which is (X^2)/2

Therefore, the total area (given) 1250 = (X^2)/2 + 60X - X^2
= 60X - (X^2)/2

X = (apprx) 26.835

What is it they say about silence being golden?