9/16/2023 0 Comments Equation for rectangle area![]() ![]() As we can see in the figure below, 6 squares of unit length can easily fit inside this rectangle therefore, we can say that the area of the rectangle is 6 units. So squares of unit length mean that the length of each side of the square is one. but remember whenever unit length is written, always understand it as 1.” The unit may be cm, inches, m, feet, etc. “Unit length: 1 is known as the unit length. Let us now try to fit squares of length 1 unit inside this rectangle. You might have gotten confused with this definition, right? Don’t worry let us clarify this for you.įor instance, let us make a rectangle with length = 2 cm and breadth = 3 cm. The number of unit squares that can perfectly fit inside a rectangle gives the area of that rectangle. How do you Find the Area of the Rectangle? Using that formula, you can even determine the area of the floor of your house, the area of your computer or mobile screen, etc. Later in this article, we will see the formula of the area of the rectangle formula. The area of the rectangle is indicated by the yellow-covered filled region, and its border is indicated by the red line. In other terms, the area of a rectangle is the two-dimensional region that lies inside its perimeter.Ī figure is provided below. This leads us to the conclusion that a rectangle’s area refers to the region it sweeps or covers. The area of a figure is the area that lies inside the boundaries of that figure. What is the Area of Rectangle?Īre we all familiar with the definition of “area” before delving further into the rectangle’s area? The space swept or covered by any closed figure is referred to as the area. Now that we are well versed with the basics of a rectangle let us find out the area of a rectangle and the formula of the area rectangle. The perimeter of a rectangle: The distance covered by the boundary of a rectangle is known as the perimeter of a rectangle.The diagonal of a rectangle divides it into two triangles of equal area.This means that the opposite sides of a rectangle are equal and parallel to each other, or opposite sides never cross each other. Two adjacent sides are never equal in the case of a rectangle. A rectangle has only opposite sides as equal and parallel.Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.Let us learn some of the mathematical terms and concepts related to a rectangle now: We would choose L = 5 (only because by convention we think of the length being the longer side) and by substitution into one of our original equations we find the width is 3. If you know both the area and the perimeter, you can also determine the dimensions, but it takes a little more work and involves either guessing and checking (which may prove difficult or impossible if any dimension is irrational) or solving a quadratic equation.ġ6 = 2L + 2W Isolate the W, substitute into the first equation and solve.ġ5= 8L - L 2 Move all terms to one side and factor. Now you know both dimensions and you can determine the area. If you know the perimeter and either length or width, you can use the perimeter formula to determine the other dimension: Now you know both dimensions and you can determine the perimeter. ![]() If you know the area and either length or width, you can use the area formula to determine the other dimension: Obviously, if you know the length and width you're set! You can calculate the perimeter using P=2L +2W and you can calculate the area using A = LW You would need to know a combination of any two of the following: length, width, perimeter, area. Each of these rectangles has a different perimeter (24 units, 18 units and 42 units respectively). A rectangle of area 20 square units could have dimensions of 2 x 10 or 4 x 5 or 1 x 20, etc. Just knowing one piece of information, such as perimeter or area, is simply not enough to determine the exact dimensions of any rectangle. There is no direct relationship between the perimeter of a rectangle and its area. Or for a photo you took on your trip to the mountains.Įach of these rectangles has the same perimeter, 4 feet, but the areas are quite different. Or you might make a frame for a photo of your pet giraffe ![]() You could make a frame for your photo of aunt Martha and uncle Fred's new baby. Suppose you have 4 feet of picture frame material and you want to make a frame for one of your photos. Is there a way to find the perimeter of a rectangle if you have the area, or vice versa? If so, what is the equation? ![]() The area and perimeter of a rectangle - Math Central ![]()
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