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.
Please help with this problem! Brandon wishes to fence in a rectangular area of his lawn for his rabbit. If the measure, in feet, of each side of the enclosure is a positive integer and the perimeter of the enclosure is 70 feet,
A company is planning to expand its business in a few years. New plant construction costs are estimated to be $4.75 per square foot. The company invests $850,000 today at 6% compounded quarterly/ a) How many square feet could be
A company is planning to expand its business in a few years. New plant construction costs are estimated to be $4.75 per square foot. The company invests $850,000 today at 6% compounded quarterly. a. How many square feet could be
Suppose you have enough material for 60 feet of fencing. With this material you want to build the largest rectangular enclosure possible. What are the dimensions of the largest possible enclosure, and what is its area?
1. A man has 22 feet by 26 feet rectangular lot that he will use for planting. He wants to build a brick of walkway of uniform width on the border of the lot. If the man wants to have 396 square feet of ground left for planting,
María plans to enclose a rectangular area of her yard using the 16-foot side of her storage shed as one side of the enclosure, as shown above. If she uses 64 feet of fencing to complete the enclosure, what will be the length, x,