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natka813 [3]
3 years ago
12

A rain gutter is made from sheets of aluminum that are 20 inches wide by turning up the edges to form right angles. Determine th

e depth of the gutter that will maximize its cross sectional area to allow the greatest amount of water to flow
Mathematics
1 answer:
Mice21 [21]3 years ago
3 0
<span>For the answer to this question,

Let x = depth of the gutter
then
18 - 2x = width of the gutter
Cross section area 
A = depth  x  width

</span><span> = x(18 - 2x)
A = 18x - 2x^2
:
Axis of symmetry will give x value for max area:

x = -b/(2a)
x = -18/(2x(-2))

x = 4.5 inches is the depth for max area

</span><span>Max area: 4.5 * 9 = 40.5 sq/in

I hope my answer helped you.</span>
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