SOLUTION: a rectangular dog kennel made using the wall of a barn and 24m of wire (to form the other three sides of the kennel). if the area of the kennel is 70m squared, find the dimensions

Algebra ->  Algebra  -> Quadratic Equations and Parabolas -> SOLUTION: a rectangular dog kennel made using the wall of a barn and 24m of wire (to form the other three sides of the kennel). if the area of the kennel is 70m squared, find the dimensions      Log On

Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo .
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 35715: a rectangular dog kennel made using the wall of a barn and 24m of wire (to form the other three sides of the kennel). if the area of the kennel is 70m squared, find the dimensions
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
X*Y=70
2Y+X=24 THUS X=24-2Y SUBSTITUTING 24-2Y FOR X IN THE FIRST FORMULA WE GET
(24-2Y)Y=70 OR 24Y-2Y~2-70=0 OR 2Y~2-24Y+70=O OR Y~2-12Y+35 OR
(Y-7)(Y-5)=0 OR Y=7 & Y=5 SUBSTITUTING 7 FOR Y IN EQUATION 1
7*X=70 OR X=70/10 OR X=7 THUS 2*7+10=24 THEN 24=24
5*X=70 OR X=70/5 OR X=14 THUS 2*5+14=24 THEN 24=24
THERE ARE TWO SETS OF SOLUTIONS X=7,Y=10 & X=5,Y=14