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In the case of a rectangle, you would maximize the area given the perimeter by making the dimensions equal. In other words, you would make the rectangle into a square. However, to truly maximize the area, you would make the perimeter a perfect circle.

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Q: How do you maximize the area given the perimeter?
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Related questions

How do you find area when given perimeter and width?

If you are given the width and the perimeter, then figure out what the length is then calculate the area... hope this helps :)


How do you find the perimeter of a hexagon if the area is given?

In general you cannot find the perimeter of any shape if only the area is given.


What is the perimeter of a square when given the area 121?

The perimeter is 44 units.


How do you calculate perimeter of a square when its area is given?

Perimeter = 4 times the square root of the area.


Area of rhombus if area and perimeter is given and if you have to find altitude?

Perimeter = 4*Side so that Side = Perimeter/4 Area of a rhombus = Side * Altitude so Altitude = Area/Side = Area/(Perimeter/4) = 4*Area/Perimeter


How to Maximize volume given surface area?

make it spherical


If the area is 350square feet what is the perimeter?

There is insufficient information to answer the question. For a given area, the perimeter depends upon the shape. For a given area, the circle will have the smallest perimeter. For polygons, regular polygons will have a smaller perimeter than an irregular one of the same area. Also, for regular polygons, the greater the number of sides, the smaller the perimeter.


How do you find the perimeter using area?

Depending on the figure given you can find the area from the perimeter For example- If you have a square with a perimeter of 24, you divide 24 by 4 because all the sides of a square are congruent. In turn you will 6 as each side of the square The formula for the area of a square is side2 so you get 62 which is 36. The area is 36


How do you find the perimeter of a triangle if you know the area?

You cannot. For a given area, an equilateral triangle will have the smallest perimeter but that perimeter can be increased - without limit - without increasing the area.


How do you find the area of rectangle given its perimeter?

You cannot.


How do you find the area if perimeter is given?

If the area is a square, 1/4 of the perimeter is the length of one side. That length squared is the area. The area will be the product of two numbers whose sum is half the perimeter.


Formula of a rectangle?

There is no formula for a rectangle. There are formula for calculating its area, perimeter or length of diagonals from its sides, or it is possible to calculate the length of one pair of sides given the other sides and the area or perimeter, or the two lots of sides given area and perimeter and so on.