Wall 1. A farmer wishes to enclose a rectangular field with one side formed by a stone wall. If the total length of the fence is 150 m, a) Show that the area of the enclosed field, A m², is A = x (150 – 2x) b) Calculate the maximum arca and the value ofx at which this occurs.

Wall 1. A farmer wishes to enclose a rectangular field with one side formed by a stone wall. If the total length of the fence is 150 m, a) Show that the area of the enclosed field, A m², is A = x (150 – 2x) b) Calculate the maximum arca and the value ofx at which this occurs.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.7: Applied Problems

Problem 58E

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Question

Wall
1. A farmer wishes to enclose a rectangular field with one side formed by a
stone wall. If the total length of the fence is 150 m,
a) Show that the area of the enclosed field, A m2, is A =x (150 – 2x)
b) Calculate the maximum area and the value ofx at which this occurs.

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