Maximum Area of Rectangle in a Right Triangle - Problem with Solution

Maximize the area of a rectangle inscribed in right triangle using the first derivative. The problem and its solution are presented

Problem with Solution

BDEF is a rectangle inscribed in the right triangle ABC whose side lengths are 40 and 30. Find the dimemsions of the rectangle BDEF so that its area is maximum.

Rectangle inscribed in right triangle problem

Solution to Problem:

More references on calculus problems