SOLUTION: I am really confused how to solve this problem, I appreciate any help. The base of a triangle is 7 inches more than 4 times its height. The area of the triangle is 568 square

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: I am really confused how to solve this problem, I appreciate any help. The base of a triangle is 7 inches more than 4 times its height. The area of the triangle is 568 square      Log On


   

Question 1176087: I am really confused how to solve this problem, I appreciate any help.
The base of a triangle is 7 inches more than 4 times its height.
The area of the triangle is 568 square inches. What is the base length and height?
Answer by ikleyn(52750) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let the height be x;

then the base is  4x+7.


The area equation is


    %281%2F2%29%2Ax%2A%284x%2B7%29 = 568.


Simplify


    x*(4x+7) = 1136.


Transform it to the standard form quadratic equation and solve using the quadratic formula.


The remaining steps are elementary and I leave it to you to complete on your own.