Posted by **Joey** on Tuesday, August 9, 2011 at 10:31am.

A construction company wants to build a rectangular enclosure with an area of 1000 square feet by fencing in three sides and using its office building as the fourth side. Your objective as supervising engineer is to design the enclosure so that it uses the least amount of fencing. Proceed as follows. (a) Let x and y be the dimensions of the enclosure, where x is measured parallel to the building, and let L be the length of fencing required for those dimensions. Since the area must be 1000 square feet, we must have xy = 1000. Find a formula for L in terms of x and y, and then express L in terms of x alone by using the area equation. (b) Are there any restrictions on the value of x? Explain.

## Answer This Question

## Related Questions

- Math: Word Problem - A security fence encloses a rectangular are on one side of ...
- math - Ex. 120 m of fencing is to be used to form three sides of a rectangular ...
- arithematic - A horticulturalist is building a fence around a rectangular garden...
- Algebra 2 - A retail lumberyard plans to store lumber in a rectangular region ...
- math - Marķa plans to enclose a rectangular area of her yard using the 16-foot ...
- Algebra - A builder has 80 feet of fencing to create an enclosure adjacent to a ...
- math - a rectangular garden with an area of 2112 square feet is to be located ...
- Algebra - A rectangular pig pen is made of 84 meters of fencing on three sides. ...
- Math - Please help with this problem! Brandon wishes to fence in a rectangular ...
- AP Calculus - The management of a large store has 1600 feet of fencing to fence ...

More Related Questions