FutureStarr

The perimeter of a rectangle

The perimeter of a rectangle

 

The perimeter of a rectangle

A rectangle has only one boundary, or the perimeter. This boundary is a line that goes around the rectangle. If there is more than one boundary, call it a polygon.Perimeter of Rectangle could be considered as one of the important formulae of the rectangle. It is the total distance covered by the rectangle around its outside. In Maths, you will come across many geometric shapes and sizes, which have an area, perimeter and even volume (for 3-d figures). You will also learn the formulas for all those parameters. Some of the examples of different shapes are circle, square, polygon, quadrilateral, etc. In this article, you will study the key feature of the rectangle, i.e. perimeter.

Perimeter

Perimeter basically gives the length of the figure. Suppose for a square, which has all its sides as equal, the perimeter of the square will be four times its sides. In the case of a circle, the perimeter is termed as circumference, which is calculated based on its radius. Before we find out the perimeter of a given rectangle, let us learn first, what a rectangle is. The perimeter of a rectangle is defined as the sum of all the sides of a rectangle. For any polygon, the perimeter formulas are the total distance around its sides. In case of a rectangle, the opposite sides of a rectangle are equal and so, the perimeter will be twice the width of the rectangle plus twice the length of the rectangle and it is denoted by the alphabet “p”. Let us derive the formula for its perimeter and area. The formula used to calculate the perimeter of a rectangle is, perimeter of a rectangle = 2(l + w), where 'l' is the length and 'w' is the width of the rectangle. Let us understand this with the help of a simple example.

In order to measure the perimeter of any rectangular field, you travel along the boundary of the four sides of the field. You begin at a fixed point called the starting point and end when you reach the starting point again. This length or distance of the boundary is called the perimeter of a rectangle. There is no direct relationship between the area and perimeter of a rectangle because the perimeter of a rectangle is the total length of its boundary and is expressed in linear units like cm, inches, and so on. The perimeter of a rectangle formula = 2(length + width). On the other hand, the area of a rectangle is the total space occupied by the rectangle and is expressed in square units like, cm.In order to find the amount of lace needed for the border of the bedsheet, we will find the perimeter of the bedsheet using the perimeter of rectangle formula. Given, length = 120 inches; width = 85 inches. Perimeter of a rectangle = 2(l + w). On substituting the values of length and width in this formula, we get, Perimeter = 2(l + w) = 2(120 + 85)= 2 × 205 = 410 inches. (Source:www.cuemath.com)

Length

The perimeter formula for a rectangle states that P = (L + W) × 2, where P represents perimeter, L represents length, and W represents width. When you are given the dimensions of a rectangular shape, you can simply plug in the values of L and W into the formula in order to solve for the perimeter. For example, if the rectangle below represents a garden that needs a brick border, we can use the perimeter formula to determine how many feet of brick border we need in all.However, not all perimeter problems will provide you with the length and width in such a straightforward way. In fact, some perimeter problems will provide you with one dimension as well the rectangle’s area. In order to solve this kind of perimeter problem we need to review our understanding of area. Remember, to calculate the area of a rectangle, we simply multiply the length by the width. A rectangle that measures 3.5 cm by 4 cm would have an area of 14 cm.

A rectangle has two equal lengths and two equal widths. In order to find the perimeter, or distance around the rectangle, we need to add up all four side lengths. This can be done efficiently by simply adding the length and the width, and then multiplying this sum by two since there are two of each side length. \(Perimeter=(length+width)×2\) is the formula for perimeter.We can calculate the perimeter of the rectangle by using the formula \(Perimeter=(length+width)×2\). We can see that the length is 14.5 feet and the width is 7.5 feet so our formula becomes \(Perimeter=(14.5+7.5)×2\) which simplifies to 44. The perimeter of the rectangle is 44 feet. (Source:In order to determine the perimeter of the rectangle, we first need to determine the width (w). The area of a rectangle is calculated by multiplying \(length×width\), so we can use the following equation to solve for our missing value (w). (Source:www.mometrix.com)

 

 

Related Articles