JEE Main 2021 — Application Of Derivatives Question with Solution
From: JEE Main 2021 (Online) 27th August Morning Shift
Question
A wire of length 20 m is to be cut into two pieces. One of the pieces is to be made into a square and the other into a regular hexagon. Then the length of the side (in meters) of the hexagon, so that the combined area of the square and the hexagon is minimum, is :
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
Let the wire is cut into two pieces of length x and 20 x.
Area of square =
Area of regular hexagon =
Total area =
A'(x) = 0 at
Length of side of regular Hexagon
Area of square =
Area of regular hexagon =
Total area =
A'(x) = 0 at
Length of side of regular Hexagon
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