SOLUTION: The base of a triangle is 10x units. The height of the triangle is 1 unit more than a tenth of the base. Given the area of the triangle is 100 square units, what is the length of t

Algebra ->  Triangles -> SOLUTION: The base of a triangle is 10x units. The height of the triangle is 1 unit more than a tenth of the base. Given the area of the triangle is 100 square units, what is the length of t      Log On


   



Question 565637: The base of a triangle is 10x units. The height of the triangle is 1 unit more than a tenth of the base. Given the area of the triangle is 100 square units, what is the length of the base?
Answer by ad_alta(240) About Me  (Show Source):
You can put this solution on YOUR website!
Let 'h' be the height and 'b' the base. The area is (1/2)bh, so (1/2)bh=100. Also, h=(b/10)+1. Therefore (1/2)b[(b/10)+1]=100 and b=40 [in the form "10x" it is 10*4].