# How do you find the maximum area of a rectangle with a fixed perimeter?

Approach: For area to be maximum of any rectangle the difference of length and breadth must be minimal. So, in such case the length must be ceil (perimeter / 4) and breadth will be be floor(perimeter /4). Hence the maximum area of a rectangle with given perimeter is equal to ceil(perimeter/4) * floor(perimeter/4).

## How do you find the maximum area of a rectangle with a fixed perimeter?

Approach: For area to be maximum of any rectangle the difference of length and breadth must be minimal. So, in such case the length must be ceil (perimeter / 4) and breadth will be be floor(perimeter /4). Hence the maximum area of a rectangle with given perimeter is equal to ceil(perimeter/4) * floor(perimeter/4).

How do you find the area of a rectangle with points?

To find the area of a rectangle, multiply the length times the width!

### How do you find maximum possible area with perimeter?

A rectangle will have the maximum possible area for a given perimeter when all the sides are the same length. Since every rectangle has four sides, if you know the perimeter, divide it by four to find the length of each side. Then find the area by multiplying the length times the width.

How do you find the perimeter of a rectangle with points?

Since rectangles have opposite sides of equal length, we need to only find the lengths of any two adjacent sides, for which we will let l and w . Step 3: The perimeter of a rectangle can be computed by adding four sides p=l+l+w+w p = l + l + w + w , or, in simpler terms, double the sum of the two adjacent sides.

#### How do you find the perimeter of 4 points?

The basic formula that is used to find the perimeter of a quadrilateral is, Perimeter = a + b + c + d, where a, b, c, and d are the four sides of the quadrilateral.

How do you find maximum area from perimeter?

For a given perimeter, the area will be maximized when all the sides are the same length, which makes it actually a square. A square is still a rectangle, though! So, if you know the perimeter, divide it by four to determine the length of each side. Then multiply the length times the width to get the area.

## What is the maximum area of a rectangle with a perimeter of 100?

Hence greatest possible area of this rectangle will be if length is 26 cm and width is 24 cm. So area will be 26*24 = 624 sq cm.

How do you find the maximum area and perimeter?

### What is area&perimeter of a rectangle calculator?

Area & Perimeter of a Rectangle calculator uses length and width of a rectangle, and calculates the perimeter, area and diagonal length of the rectangle. It is an online Geometry tool requires two length sides of a rectangle.

What is the area of a rectangle with a perimeter 28 feet?

The result you need is that for a rectangle with a given perimeter the square has the largest area. So with a perimeter of 28 feet, you can form a square with sides of 7 feet and area of 49 square feet. This follows since given a positive number with the sum is smallest when . You have , and you want to find the maximum…

#### How to find the length of a rectangle?

Rectangle calculator will give the perimeter, area and diagonal length of a rectangle. Output : Three positive real numbers or variables as the perimeter, area and diagonal length of a rectangle and corresponding units after that. where a a and b b are the length and width of the rectangle, respectively.

What is the distance around a rectangle called?

The distance around a rectangle is called the perimeter of the rectangle. It is usually denoted by P P. To find the perimeter of rectangle we add the lengths of its sides. Thus, the perimeter of a rectangle with the length of a a and the width of b b is