i have two answers but am not sure which one is the correct answer and i need help to solve it i add two pic add help me solve it Problem: A piece of wire, 400 cm long, is to be bent into an isosceles triangle. What should the dimensions of the triangle be in order to maximize its area? Use the First and Second Derivative Tests (derivatives, calculations, and tables for FDT and SDT) to check that your answer(s) is (are) indeed, for the maximum. Determine the maximum value for the area of this triangle. Round you answer(s) to the nearest tenth. ↑Given that a wire is 400 cm.So, a + b + c = 370Since triangle is isosceles triangleSo, let's assume that a=bSo, 2a + b = 400 b = 400 - 2aThe area of an isosceles triangle is,bh ¹ × 400 - 2a√370² +4a² - 1600a - a²(200-a)1600² + 3a² - 1600a==-Step 2: Step 2Take the derivative,(200-a)400² + 3a² - 1600a¹3a - 800 -√400² + 3a² - 1600a = 0 ⇒ (200-a) (3a - 800) - 400² -3a² + 1600a = 0⇒200 × 3a·So, the sides are, 154, 154, 92SolutionSo, the sides are, 154, 154, 92 A² = 10 [-2] √₂-100 + 10 (400-2x)2√2-100A² = 0-20 √√√2-100 + 5 (400 - 2a)2-100=) -20 (9-100) + 5 (400-2x) = 0=) - 202 + 2000 + 2000 - 10α = 0=)11A = -1021-10030x + 4000.. X =2 = 4003+552)x-100= 0~ 188.3(-2)_ 5 (400-2x)2(x-100) ³/2• 1" (400/3) 20so Areen is max at 2 = 4003:. Sides are 123.3, 133.2, 133.3 Ans~133-3

Answered: Image /qna-images/answer/c12eed31-aa15-4729-805b-b8e29bb88f35.jpg

i have two answers but am not sure which one is the correct answer and i need help to solve it i add two pic add help me solve it Problem: A piece of wire, 400 cm long, is to be bent into an isosceles triangle. What should the dimensions of the triangle be in order to maximize its area? Use the First and Second Derivative Tests (derivatives, calculations, and tables for FDT and SDT) to check that your answer(s) is (are) indeed, for the maximum. Determine the maximum value for the area of this triangle. Round you answer(s) to the nearest tenth.

i have two answers but am not sure which one is the correct answer and i need help to solve it i add two pic add help me solve it Problem: A piece of wire, 400 cm long, is to be bent into an isosceles triangle. What should the dimensions of the triangle be in order to maximize its area? Use the First and Second Derivative Tests (derivatives, calculations, and tables for FDT and SDT) to check that your answer(s) is (are) indeed, for the maximum. Determine the maximum value for the area of this triangle. Round you answer(s) to the nearest tenth.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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