Posted by **steph** on Thursday, November 10, 2011 at 7:57pm.

area of a parking lot: One campus of Houston community college has plans to construct a rectangular parking lot on land bordered on one side by a highway. there are 640 feet of fencing available to fence the sides. let x represent the length of each off the two parallel sides of fencing.

a)Draw the illustration of the problem

b) express the length of the remaining side to be fenced in terms of x.

c)what are the restrictions of x?

d)determine the values of x that will give an area between 30,000 and 40,000 feet squared.

e)what dimensions will give a maximum area, and what will this area be?

f)determine a function A that represents the area of the parking lot in terms of x?

- pre- calc -
**Steve**, Thursday, November 10, 2011 at 11:56pm
Just take it step by step.

total fence: 640

two parallel sides: 2x

b) remaining side: 640-2x

c) obviously 640-2x>0 ==> x < 320

d) 30000 < x(640-2x) < 40000

56 < x < 85 approx

e) max area approx 51000 at x=160

f) a = x(640-2x)

- pre- calc -
**steph**, Friday, November 11, 2011 at 12:18am
thanks! i have one more that i posted about the path of a frogs leap. I can't figure it out

## Answer This Question

## Related Questions

- pre-cal - One campus of Houston community college has plans to construct a ...
- math - Houston Community College is planning to construct a rectangular parking ...
- Algebra - A community college campus plans to construct a rectangular parking ...
- Pre-Calc - One campus of HCC has plans to construct rectangular parking lot on ...
- algebra - a local grocery store has plans to construct a rectangular parking lot...
- College Algebra - The campus of a college has plans to construct a rectangular ...
- Calculus - Glenview Community College wants to build a rectangular parking lot ...
- math - A college is planning to construct a retangular parking lot on land ...
- Calculus - a college is planning to construct a new parking lot. the parking lot...
- Calculus - a college is planning to construct a new parking lot. the parking lot...

More Related Questions