# Wire of length 20m is divided into two pieces and the pieces are bent into a square and a circle. How should this be done in order to minimize the sum of their areas? Round your answer to the nearest hundredth?

##### 1 Answer

Jan 15, 2018

Application Of Derivatives

#### Explanation:

let side of square be x

therefore length of wire used for making the square is 4x

so the remaining 20-4x is used for making the circle

so circumference of circle = 20-4x

2

hence r =

now let f(x) be sum of areas

therefore

=

now find derivative of

find second derivative substitute the x values and if the value of the derivative is >0 for that value of x then it is a point of minima

that'll be the required answer

hope u find it helpful :)