SOLUTION: A small paper box is to be made from a sheet of paper measuring 20cm by 12 cm. The sides of the box are formed when a congruent square is cut from each corner, which allows the sid

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Question 1160191: A small paper box is to be made from a sheet of paper measuring 20cm by 12 cm. The sides of the box are formed when a congruent square is cut from each corner, which allows the sides to fold up. The base of the box has an area of 65cm2.
Write an equation to represent the area of dimensions of the base.
Determine the side length of the congruent squares.
Determine the dimensions of the box.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Cutting x edged squares from each corner

%2820-2x%29%2812-2x%29=65
You might find two factors of 65 which differ by 8 are 13 & 5.

Try this:
system%2812-2x=5%2C20-2x=13%29------------each should give the same x value.