SOLUTION: A rain gutter is made from sheets of aluminum that are 19 inches wide. The edges are turned up to form right angles. Determine the depth of the gutter that will allow a cross-s

Question 1102643: A rain gutter is made from sheets of aluminum that are 19 inches wide. The edges are turned up to form right angles. Determine the depth of the gutter that will allow a cross-sectional area of 18 square inches. Show that there are two different solutions to the problem . Round to the nearest 10th of an inch
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
The width after turning up the edges will be w = 19 - 2h, where h is the height
The cross-sectional area A = w*h = 18
h(19-2h) = 18
2h^2 - 19h + 18 = 0
Using the quadratic formula, the two solutions are:
h = 1.1 and 8.4
Ans: 1.1 inches and 8.4 inches
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