SOLUTION: the area of a rectangle is 18 square meters. when the length is increased by 2 meters, and the width increased by 3 meters, the area becomes 48 square meters. Find the dimensions o

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: the area of a rectangle is 18 square meters. when the length is increased by 2 meters, and the width increased by 3 meters, the area becomes 48 square meters. Find the dimensions o      Log On


   

Question 960239: the area of a rectangle is 18 square meters. when the length is increased by 2 meters, and the width increased by 3 meters, the area becomes 48 square meters. Find the dimensions of the smaller rectangle.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
LW=18
L=18%2FW
.
.
%28L%2B2%29%28W%2B3%29=48
Substituting,
%2818%2FW%2B2%29%28W%2B3%29=48
18%2B54%2FW%2B2W%2B6=48
54%2FW%2B2W=24
54%2B2W%5E2=24W
W%5E2-12W%2B27=0
%28W-9%29%28W-3%29=0
Two solutions:
W-9=0
W=9
Then,
L%289%29=18
L=2
and
W-3=0
W=3
Then,
L%283%29=18
L=6
2x9 or 6x3