A triangular lot, where all its three sides have the same length, is to contain a triangular building inside. The triangular building to be built has an area of 64√3 m^2. The triangular building is said to be an equilateral triangle, just like the lot, and must be built 3 meters away from all the three sides of the lot. Find the most economical area of the triangular lot in square meters.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A triangular lot, where all its three sides have the same length, is to contain a triangular building inside. The triangular building to be built has an area of 64√3 m^2. The triangular building is said to be an equilateral triangle, just like the lot, and must be built 3 meters away from all the three sides of the lot. Find the most economical area of the triangular lot in square meters.

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