SOLUTION: A rectangular piece of cardboard measure 21cm by 16cm. When strips of equal width are cut off one side and one end, the area of the remaining piece is 23cm. find the width of the s

Algebra ->  Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: A rectangular piece of cardboard measure 21cm by 16cm. When strips of equal width are cut off one side and one end, the area of the remaining piece is 23cm. find the width of the s      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1148758: A rectangular piece of cardboard measure 21cm by 16cm. When strips of equal width are cut off one side and one end, the area of the remaining piece is 23cm. find the width of the strips.
Answer by ikleyn(52886) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let "w" be the width of the strip.


Then you have this quadratic equation


    (21-x)*(16-x) = 23  cm^2.


Simplify and reduce it to the standard form quadratic equation; then use the quadratic formula.