Problema Solution
Suppose that a box has a base with a width of x, a length of x+3, and a height of 1 inch. It is cut from a square sheet of material with an area of 130 in^2. Find the dimensions of the box.
Answer provided by our tutors
the area of the square sheet = the area of the box (without a cover) + the area of the 4 cut out peaces
130 = x(x+3) + 2(x*1 + (x + 3)*1) + 4*(1*1)
by solving we find and consider the positive root since the length can not be a negative number
x = 8 in
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the width is 8 in.
the length is 8 + 3 = 11 in.
the height is 1 in.