SOLUTION: A rectangle is 8 cm longer than it is wide. If the width is increased by 3 cm and the length is decreased by 3 cm, the area is increased by 4 cm2. Find the dimensions of the origin

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A rectangle is 8 cm longer than it is wide. If the width is increased by 3 cm and the length is decreased by 3 cm, the area is increased by 4 cm2. Find the dimensions of the origin      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 330060: A rectangle is 8 cm longer than it is wide. If the width is increased by 3 cm and the length is decreased by 3 cm, the area is increased by 4 cm2. Find the dimensions of the original rectangle.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The original dimensions of the rectangle area W by W%2B8.
A1=W%28W%2B8%29
The new rectangle is W%2B3 by W%2B8-3 or W%2B3 by W%2B5.
A2=%28W%2B3%29%28W%2B5%29
and
A2=A1%2B5
%28W%2B3%29%28W%2B5%29=W%28W%2B8%29%2B5
W%5E2%2B8W%2B15=W%5E2%2B8W%2B5
15=5
The problem setup leads to an inconsistency.
No solution.
.
.
.
Recheck the problem setup if you think there should be an answer.