SOLUTION: A box is made from a rectangular piece of metal with length 39 inches and width 23 inches. Squares with length x are cut out at the corners. The box has no top. ​a) Write an ex

Algebra ->  Equations -> SOLUTION: A box is made from a rectangular piece of metal with length 39 inches and width 23 inches. Squares with length x are cut out at the corners. The box has no top. ​a) Write an ex      Log On


   

Question 1176148: A box is made from a rectangular piece of metal with length 39 inches and width 23 inches. Squares with length x are cut out at the corners. The box has no top.
​a) Write an expression that gives the outside surface area of the box.
​b) If the outside surface area of the box is 888 square​ inches, find x.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The bottom surface will have dimensions 39-2x and 23-2x.

Two opposite side surfaces have dimensions x and 39-2x.

The other two opposite side surfaces have dimensions x and 23-2x.


The outside surface area of the box:
%2839-2x%29%2823-2x%29%2B2x%2839-2x%29%2B2x%2823-2x%29. You should simplify this before finding x for the total area of 888 square inches.