Show that of all the rectangles of given area, the square has the smallest perimeter.

Statement I :Among all the rectangles of the given perimeter, the square has the largest area. Also among all the rectangles of given area, the square has the least perimeter. Statement II :For xgt0,ygt0,ifx+y = constant, then xy will be maximum for y=x and if xy=constant, then x+y will be minimum for y=x.

Show that all the rectangles with a given perimeter, the square has the largest area.

Show that all the rectangles with a given perimeter, the square has the largest area.

Show that of all the rectangles inscribed in a given circle, the square has the maximum area.

Show that of all the rectangles inscribed in a given fixed circle, the square has the maximum area.

Show that of all the rectangles inscribed in a given fixed circle, the square has the maximum area.

The average length of all the sides of a rectangle equals twice the width of the rectangle. If the area of the rectangle is 18, what is its perimeter?

Find the area of all possible rectangles whose sides are only whole numbers, given that the perimeter of the rectangels is 18 cm.

A circle has a radius that is the same length as the sides of a square , if the square has a perimeter of 64 square inches , what is the area , in square inches , of the circle ?

A square has the same area as that of a rectangle. The length and the breadth of the rectangle are 9cm and 4cm, respectively. Which figure has the greater perimeter and by how much?