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'A farmer plans to enclose a rectangular pasture adjacent to a river (see figure): The pasture must contain 125, 000 square meters in order to provide enough grass for the herd: No fencing is needed along the river: What dimensions will require the least amount of fencing? Suppose the side of the rectangle parallel to the river is of length. Response times may vary by subject and question complexity.
Your question is solved by a Subject Matter Expert. A farmer wants to make a rectangular pasture with 80, 000 square feet. The value of the variable thus obtained gives the optimized value. The river serves as one border to the pasture, so the farmer does not need a fence along that part. Learn to apply the five steps in optimization: visualizing, definition, writing equations, finding minimum/maximums, and concluding an answer. High accurate tutors, shorter answering time. No fencing is needed along the river. Then substitute in the above Equation. Want to see this answer and more? Minimum Area A farmer plans to fence a rectangular pasture adjacent to a river (see figure). Our experts can answer your tough homework and study a question Ask a question. A trapezoid has an area of 96 cm2.
Please upgrade to a. supported browser. A hole has a diameter of 13. We solved the question! Ask a live tutor for help now. Differentiating this with respect to. The pasture must contain 1, 80, 000 sq. To unlock all benefits! Find the vale of and. Enjoy live Q&A or pic answer. Then the other sides are of length. If the pasture lies along a river and he fences the remaining three sides, what dimension should he use to minimize the amount of fence needed? This pasture is adjacent to a river so the farmer... See full answer below.
Send experts your homework questions or start a chat with a tutor. Recommended textbooks for you. Step-4: Finding value of minimum perimeter. What dimensions would require the least amount of fencing if no fencing is needed along the river? Star_borderStudents who've seen this question also like: Elementary Geometry For College Students, 7e. Solving Optimization Problems.
Check for plagiarism and create citations in seconds. Point your camera at the QR code to download Gauthmath. Check Solution in Our App. Check the full answer on App Gauthmath. Gauth Tutor Solution. Formula for the perimeter can be expressed as, Rewrite the above Equation as, Because one side is along the river. If 28 yd of fencing are purchased to enclose the garden, what are the dimensions of the rectangular plot? What type of figure has the largest area? We can also find/prove this using a little calculus... Mary Frances has a rectangular garden plot that encloses an area of 48 yd2.
Substitute for y in the equation. Hence the only (positive) turning point is when. Substitute is a minimum point in Equation (1). Explain your reasoning. Always best price for tickets purchase.