SOLUTION: Hi, I need help with this question, it's really confusing: "A rectangular piece of cardboard is twice as long as it is wide. A four-centimeter square is cut out of each corner,

Question 1120793: Hi, I need help with this question, it's really confusing:
"A rectangular piece of cardboard is twice as long as it is wide. A four-centimeter square is cut out of each corner, then the sides are turned up to
make a box. The volume of the box is 616 cubic centimeters. Find the original
dimensions of the rectangular piece of cardboard."
Thanks!
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Dimensions of the original cardboard:
x and 2x

Cutting out the 4 cm corners means that the box height formed is 4 cm.

Dimensions of the bottom of box:
and

Volume given as 616 cubic cm.

Simplify and solve this.

Notice on the left side, the two factors differ by 4; and see on the right side, the product 77 could be .
Those are the factors you want.
(or you could have gone ahead, multiplied, and use either factorization or quadratic formula solution.)

---------width

--------width

Length would be .
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