SOLUTION: I am a 7th grade pre-algebra student transffering up to take algebra with the 8th graders. I have been trying this problem for about 30 minutes now and I still dont get it. Can yo

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I am a 7th grade pre-algebra student transffering up to take algebra with the 8th graders. I have been trying this problem for about 30 minutes now and I still dont get it. Can yo      Log On


   



Question 993493: I am a 7th grade pre-algebra student transffering up to take algebra with the 8th graders. I have been trying this problem for about 30 minutes now and I still dont get it. Can you please help out
a triangle has a rational area of 20 ft. what possible combinations or irrational and rational for the base and height would give a rational value of the area.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Area is (1/2) bh=20 sq ft. Units will be feet for base and height.
bh=40
h=40/b
b=40/h
As I interpret the question, anything on the below graph where both are positive will give a rational value for the area. If they want possible combinations, you can use anything on this line, like 8 and 5 or 5 and 8 (all are interchangeable), (40/9) and 9, 20/9 and 18, sqrt (40) and sqrt (40), two irrational numbers, sqrt 80 and sqrt (5).
graph%28300%2C200%2C-40%2C40%2C-40%2C40%2C40%2Fx%29