SOLUTION: HELLO! IF THE AREA OF A RECTANGLE IS GIVEN AND THE BASE AND HEIGHT ARE NOT AND ARE GIVEN AS "SIX MORE THAN 2 TIMES THE BASE"....MUST i KNOW HOW TO SOLVE FOR 2 VARIABLES b & h?

Algebra ->  Rectangles -> SOLUTION: HELLO! IF THE AREA OF A RECTANGLE IS GIVEN AND THE BASE AND HEIGHT ARE NOT AND ARE GIVEN AS "SIX MORE THAN 2 TIMES THE BASE"....MUST i KNOW HOW TO SOLVE FOR 2 VARIABLES b & h?      Log On


   



Question 300881: HELLO! IF THE AREA OF A RECTANGLE IS GIVEN AND THE BASE AND HEIGHT ARE NOT AND ARE GIVEN AS "SIX MORE THAN 2 TIMES THE BASE"....MUST i KNOW HOW TO SOLVE FOR 2 VARIABLES b & h?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Are you asking "Can you solve for b and h if you are given the area and a relationship between b and h"??
Yes, because then you'll have one equation with one unknown which is solvable.
A=b%2Ah
h=6%2B2%2Ab
Then substitute,
b%2A%286%2B2b%29=A
where A is known.
6b%2B2b%5E2=A
2b%5E2%2B6b-A=0
You have a quadratic equation in b which you can solve by factoring, graphing, or if all else fails the quadratic formula.
Good luck!