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A trapezoid has an area of 96 cm2. Find the vale of and. What dimensions will require the least amount of fencing? A farmer wants to make a rectangular pasture with 80, 000 square feet. Minimum Area A farmer plans to fence a rectangular pasture adjacent to a river (see figure). Then substitute in the above Equation. Point your camera at the QR code to download Gauthmath. Evaluate the general equation for the length of the fence. The pasture must contain square meters in order to provide enough grass for the herd. Author: Alexander, Daniel C. ; Koeberlein, Geralyn M. Publisher: Cengage, Areas Of Polygons And Circles. 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? What type of figure has the largest area?

Formula for the perimeter can be expressed as, Rewrite the above Equation as, Because one side is along the river. The value of the variable thus obtained gives the optimized value. Solving Optimization Problems. Grade 8 · 2022-12-07. The river serves as one border to the pasture, so the farmer does not need a fence along that part. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers. Ask a live tutor for help now.

A hole has a diameter of 13. Check Solution in Our App. This pasture is adjacent to a river so the farmer... See full answer below. We can also find/prove this using a little calculus... JavaScript isn't enabled in your browser, so this file can't be opened. If 28 yd of fencing are purchased to enclose the garden, what are the dimensions of the rectangular plot? Check for plagiarism and create citations in seconds. Step-3: Finding maxima and minima for perimeter value. 12 Free tickets every month.

Differentiate the above Equation with respect to. Want to see this answer and more? Enjoy live Q&A or pic answer. Get 24/7 homework help! No fencing is needed along the river. If the altitude has a length of 8 cm and one base has a length of 9 cm, find the length of the other base. Star_borderStudents who've seen this question also like: Elementary Geometry For College Students, 7e. Finding the dimensions which will require the least amount of fencing: Step-1: Finding the expression for width. Solve math equations. Substitute is a minimum point in Equation (1). Which has a larger volume, a cube of sides of 8 feet or a sphere with a diameter of 8 feet? To solve an optimization problem, we convert the given equations into an equation with a single variable. Your question is solved by a Subject Matter Expert.