Answer:
Base of triangle is 9 inches and altitude of triangle is 14 inches.
Step-by-step explanation:
Given:
Area of Triangle = 63 sq. in.
Let base of the triangle be 'b'.
Let altitude of triangle be 'a'.
Now according to question;
altitude is 5 inches longer than the base.
hence equation can be framed as;

Now we know that Area of triangle is half times base and altitude.
Hence we get;

Substituting the values we get;

Now finding the roots for given equation we get;

Hence there are 2 values of b
Since base of triangle cannot be negative hence we can say 
So Base of triangle = 9 inches.
Altitude = 5 + base = 5 + 9 = 14 in.
Hence Base of triangle is 9 inches and altitude of triangle is 14 inches.