You want to form a rectangular pen of area a = 70 square feet. (See the figure below.) One side of the pen is to be formed by an existing building and the other three sides by a fence. If w is the length, in feet, of the sides of the rectangle perpendicular to the building, then the length of the side parallel to the building is 70/w, so the total amount F = F(w), in feet, of fence required is the rational function F = 2w + 70 w.
Unitary Method
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Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
You want to form a rectangular pen of area a = 70 square feet. (See the figure below.) One side of the pen is to be formed by an existing building and the other three sides by a fence. If w is the length, in feet, of the sides of the rectangle perpendicular to the building, then the length of the side parallel to the building is 70/w, so the total amount F = F(w), in feet, of fence required is the rational function
| 70 |
| w |
(c) Determine the dimensions of the rectangle that requires a minimum amount of fence. (Round your answers to two decimal places.)
| width | ft | |
| length | ft |
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