11 Nov 2021
Problem 17
Page 306
Section 4.6: Optimization Problems
Chapter 4: Applications of Differentiation
Textbook ExpertVerified Tutor
11 Nov 2021
Given information
The dimensions of the rectangle of largest area that can be inscribed in an equilateral triangle of side L.
Step-by-step explanation
Step 1.
Let the upper base of the rectangle be the segment of a line parallel to the base of the equilateral triangle at an unknown distance from it. In such a way the triangle is divided in two triangles, the equilateral one having height
And a smaller one having height
That are similar! so we can write the proportion