my question was too long so i put it in description

Question

the base of a triangular sign exceeds the height by 8 inches. If the area of the sign is 24 square inches, find the length of the base and the height of the triangle.?

Answer 1

area of triangle is one half of product of base and height.

24 sq in = ½•(h+8)•h

 

Solve that for h and then you'll know both base & height.