SOLUTION: A rectangular piece of cardboard has an area of 150 square centimeters. By cutting a square 2 centimeters wide on each side each of the four corners and folding up the sides, an op

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A rectangular piece of cardboard has an area of 150 square centimeters. By cutting a square 2 centimeters wide on each side each of the four corners and folding up the sides, an op      Log On


   

Question 1014085: A rectangular piece of cardboard has an area of 150 square centimeters. By cutting a square 2 centimeters wide on each side each of the four corners and folding up the sides, an open box body is formed having a volume of 132 cubic centimeters. Find the length and width of the original cardboard.
Answer by josgarithmetic(39628) About Me  (Show Source):
You can put this solution on YOUR website!
x and y, the unknown dimensions.

xy=150;

Base multiplied by height must be 132 sq.cm.
Height will be 2 cm.
Base will be %28x-2%2A2%29%28y-2%2A2%29;

2%28x-4%29%28y-4%29=132 which should be simplified to become %28x-4%29%28y-4%29=66.

You have a system to solve:
system%28%28x-4%29%28y-4%29=66%2Cxy=150%29.