Arain gutter is made from sheets of aluminum that are 18 inches wide by turning up the edges to form right angles. determine the depth of the gutter that will maximize its cross-sectional area and allow the greatest amount of water to flow.
a. 5 inches
b. 4 inches
c. 4.5 inches
d. 5.5 inches

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

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