Q. 29

# Show that of all

Let us Consider a rectangle with length is x cm and breadth is y cm.

Since, Area of rectangle = length × breadth

A=xy …(i)

And, Perimeter of rectangle is , = 2(length + breadth)

P=2(x + y) …(ii)

Now, From (ii), Putting the value of y in equation (ii), we get  Now, differentiate A, w.r.t x , we get  If then  If Since, Corresponds to a maximum value of A.

The area is maximum when the sides are Hence, This is the square, with largest area.

Hence, Proved

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

Show that of all Mathematics - Board Papers

Find the value ofMathematics - Board Papers

If x sin (a + y) Mathematics - Exemplar

The function f(x)Mathematics - Exemplar

Show that of all Mathematics - Board Papers

If the function fMathematics - Board Papers

Find <img wMathematics - Exemplar

Let f(x) = |sinx|Mathematics - Exemplar

The derivative ofMathematics - Exemplar