SOLUTION: four congruent squares are cut from all corners of a 22 cm. by 18 cm. illustration board. the sides are then bent up to form an open box. if the area of the bottom of the box is 32

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Question 924386: four congruent squares are cut from all corners of a 22 cm. by 18 cm. illustration board. the sides are then bent up to form an open box. if the area of the bottom of the box is 320 sq. cm, what is the length of each side of the square?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
side length x for the congruent squares.
%2822-2x%29%2818-2x%29=320, the description translated into an equation; the variable x is assigned as the length of the edge of each congruent square which were cut from the board.

The simplification procedure,
2%2A2%2811-x%29%289-x%29=4%2A8%2A10
%2811-x%29%289-x%29=8%2A10
99-20x%2Bx%5E2=80
19-20x%2Bx%5E2=0
x%5E2-20x%2B19=0
%28x-19%29%28x-1%29=0, the quadratic equation is now in simplied, and then FACTORED form. ZERO-PRODUCT RULE; solve the rest of the way.