Question 1188211: You are designing boxes to ship your newest design. You use a rectangular piece of cardboard measuring 40 in. by 30 in. to be make an open box with a base (bottom) of 900 in2 by cutting equal squares from the four corners and then bending up the sides. Find, to the nearest tenth of an inch, the length of the side of the square that must be cut from each corner.
Question 3 options:
4 in
37.5 in
2.5 inches
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! Can exclude 37.5 in right away given that it is impossible.
the bottom will be 40-2x by 30-2x, and that will equal 900 in^2. x is the length of the side of the square.
1200-140x+4x^2=900
4x^2-140x+300=0
x^2-35x+75=0
x=(1/2)(35+/- sqrt (1225-300)); sqrt 925=30.4
x=32.7 inches and 2.3 inches; 2.3 inches is the answer.
the sides will become 35.4 x 25.4=899.16 in^2.
The best choice is 2.5 inches
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