![]() Evaluating this, d = √40 and therefore the diagonal is approximately 6.32m long. ![]() For example, the diagonal of a rectangle of length 6m and width 2m is given by d = √(6² + 2²). The formula to find the diagonal of a rectangle is d = √(l² + w²), where l is the length and w is the width of the rectangle. Formula to Find the Diagonal of a Rectangle The diagonal is the hypotenuse of the triangle formed by dividing the rectangle in two. Given the length and width of a rectangle, the diagonal is found by squaring these values, adding them and then finding the square root of this. This means that the rectangle is divided into two right-angled triangles from which Pythagoras’ Theorem can be used The area of a rectangle has several fascinating uses, such estimating the height of a skyscraper and computing the area of a rectangular floor.The diagonals of a rectangle are equal in length and divide the rectangle into two congruent triangles. The rectangle’s area is measured in square units. A rectangle’s area is calculated by multiplying the length by the width of its two sides. Here, the length and breadth of a rectangle are not equal. In two dimensions, an object must have been measured for length and breadth. The area of a rectangle is therefore (d)² – (b) 2 x b = (Diagonal)² – (Breadth)² x Breadth when the length of one diagonal and the dimension of breadth are given. Give the dimensions diagonal (d), length (l), and width (b).Ĭhanging the l value in the primary formula (Hypotenuse)² = (Base)² + (Perpendicular height)² We’ll figure out a formula to calculate a rectangle’s area using diagonals utilizing the Pythagoras theorem. Area of a Rectangle by Diagonal:Īrea of a Rectangle by a Diagonal: As was already established, a rectangle is split into two right-angled triangles by a diagonal. Step 4: The rectangle has a 100-square-unit area. Step 2: Use the formula area of rectangle = length x breadth. Step 1: Given that the rectangle’s length is 20 units and its width is 5 units ![]() We will determine the area of a rectangle with dimensions of 20 units in length and 5 units in width. Example:Ĭonsider the following example to better understand how to determine a rectangle’s area. Step 4: Write the outcome in square units. ![]() Step 3: Multiply the values to obtain the result. Step 2: Enter the values into the length x width rectangular area formula. Step 1: note the dimensions of the rectangle that was provided in the questions. You won’t ever have a problem with faults in your solutions if you carefully follow these procedures. The steps for calculating a rectangle’s area are listed below. ⇒ Area (ABCD) = b × h Steps on how to Calculate Area of Rectangle? The rectangle is split into two identical right-angled triangles by the diagonal AC. For instance, a diagonal is drawn from vertex A to vertex C in the rectangle ABCD that is given. Since the lengths are multiplied together, the measurement will be in “square inches.”Īn alternative method for calculating a rectangle’s area is to divide it into two right triangles of equal size. The result of multiplying 6 by 8 is 48, which is the area of ABCD. Here, AB measures 8 inches in length while BC measures 6 inches. Using this method, we also discover that the area of a rectangle is always equal to the sum of its two sides. The total number of unit squares that make up a rectangle ABCD is its area.ĪBCD rectangle in unit squares, each measuring one square inchĪs a result, the rectangle ABCD has a total area of 48 square inches. As indicated, divide the rectangle ABCD into unit squares. We utilize the unit squares to calculate a rectangle’s area. Area “A” is written as though the rectangle’s length were “a” and its width were “b.”Ī = a x b (square units) Calculating the Area of a Rectangle: We can calculate the area of a rectangle using the product of its length and breadth. The formula for rectangle area is as follows: This formula was solely used to get the area between the table you are studying and the room you are living in. Despite being straightforward, it is also one of the most effective formulas. One of the simplest mathematical formulas is the one we will study now, which calculates the area of a rectangle. In other words, a rectangle’s area is the two-dimensional area contained within its perimeter. This leads us to the conclusion that the area of a rectangle is the region that it sweeps or covers. The area of a given figure is the area that lies within its perimeter. The space that any closed figure sweeps or covers is referred to as the area.
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