Question

The height of a triangle is 5 more than twice the base. If the area of the triangle is 21, then find the base of the triangle.

Answer 1

21=(1/2)(2b+5)b
42=b(2b+5)
2b^2+5b-42=0
(2b-7)(b+6)=0
b=7/2 b=-6
take the positive value
b=7/2