Table of Contents
Which figure will have a perimeter of 22 units?
Notice that the perimeter of a rectangle always has two pairs of equal length sides. In the above example you could have also written P = 2(3) + 2(8) = 6 + 16 = 22 cm.
How do you find the maximum length of a rectangle?
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).
What is the maximum area of a rectangle having perimeter L?
Hence the maximum area of a rectangle with given perimeter is equal to ceil(perimeter/4) * floor(perimeter/4).
What is the maximum area in square units of a rectangle?
32 square units
Hence, maximum area of rectangle is 32 square units.
How to find the maximum area of a rectangle with perimeter?
Find the maximum area of a rectangle with a perimeter of 54 centimeters. Step 1. Perimeter P means adding up all 4 sides of a rectangle or P=w+w+L+L=2(w+L) where w is the width and L is the Length. Step 2. Maximum Area A=w*L is when the rectangle is a square or where s=w=L. Step 3.
What is the area of a square with a perimeter 28 feet?
$\\begingroup$. 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.
What are the units of area and perimeter?
The perimeter is measured in units such as centimeters, meters, kilometers, inches, feet, yards, and miles. The area is measured in units units such as square centimeters (cm2) ( c m 2), square meters (m2) ( m 2), square kilometers (km2) ( k m 2) etc.
What is the unit of area of a rectangle?
In other words, the area of a rectangle is the product of its length and width. The perimeter is measured in units such as centimeters, meters, kilometers, inches, feet, yards, and miles. The area is measured in units units such as square centimeters (cm2) ( c m 2), square meters (m2) ( m 2), square kilometers (km2) ( k m 2) etc.