The campus of a college has plans to construct a rectangular parking lot on land bordered on one side by a highway. There are 720 feet of fencing available to fence the other three sides. Let x represent the length of each of the two parallel sides of fencing.
a) Express the length of the remaining side to be fenced in terms of x.
b) What are the restrictions on x?
c) Determine a function A that represents the area of the parking lot in terms of x.
d) Determine the values of x that will give an area between 20,000 and 40,000 ft^2.
e) What dimensions will give a maximum area, and what will this area be?
3 answers
I did this in calculus- good luck.
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The campus of a college has plans to construct a rectangular parking lot on land bordered on one side by a highway. There are 760
ft of fencing available to fence the other three sides. Let x represent the length of each of the two parallel sides of fencing.
A rectangle has width x. xx
(a) Express the length of the remaining side to be fenced in terms of x.
(b) What are the restrictions on x?
(c) Determine a function A that represents the area of the parking lot in terms of x.
(d) Determine the values of x that will give an area between 20 comma 000
and 50 comma 000
ftsquared
.
(e) What dimensions will give a maximum area, and what will this area be?
ft of fencing available to fence the other three sides. Let x represent the length of each of the two parallel sides of fencing.
A rectangle has width x. xx
(a) Express the length of the remaining side to be fenced in terms of x.
(b) What are the restrictions on x?
(c) Determine a function A that represents the area of the parking lot in terms of x.
(d) Determine the values of x that will give an area between 20 comma 000
and 50 comma 000
ftsquared
.
(e) What dimensions will give a maximum area, and what will this area be?