![]() The diagonal of a rectangle is the straight line inside the rectangle connecting its opposite vertices. The area of a rectangle can be calculated if the diagonal and one side is given. Similarly, if the length and width of any rectangle is given in cm, then the area will be expressed in square centimeters (cm 2). In this case, since the length and width of this rectangle is given in 'inches', the area is measured and written in square inches (in 2). In other words, 12 unit squares can fit in the given rectangle covering all its space and this is termed as the area of a rectangle. So, a rectangle whose sides are 4 inches and 3 inches has an area of 12 square inches or 12 in 2. Since 12 equal-sized squares can fit in this rectangle, they also show the space occupied by the whole rectangle. Observe the figure given below in which we can divide the figure into 12 small squares, each of which is a square, that is, 1 inch on each side, that is, 1 square inch. ![]() Now, let us understand the reason for which the area of a rectangle is expressed in square units using the following example.Įxample: The length of a rectangle is 4 inches and its width is 3 inches. We know that length is always measured and expressed in units like cm, inches, etc. The unit of the area of a rectangle is expressed in square units. Therefore, the area of the rectangle = 60 square units. Therefore, area of the rectangle = 15 × 4 = 60 Substitute 15 for 'l' and 4 for 'w' in this formula. The formula to find the area of a rectangle is A = l × w. ![]() Solution: Given, length = 15 units and width = 4 units. Let us take an example to understand the calculation of the area of a rectangle.Įxample: Find the area of the rectangle whose length is 15 units and width is 4 units. Step 3: Give the answer in square units.Step 2: Find the product of the length and width values.Step 1: Note the dimensions of length and width (breadth) from the given data.The area of a rectangle can be calculated using the steps given below: Note: The angle α between diagonals is in the front of the length like in the first figure.The area of a rectangle is the product of its length and width (breadth). With the above equations, we can now derive various diagonal of a rectangle formulas that are used by this diagonal of a rectangle calculator:ĭ = √(2l² - P × l + P²/4)) or d = √(2w² - P × w + P²/4) ĭ = P / (2 × sin(α/2) + 2 × cos(α/2)) and Circumcircle radius of a rectangle r = d/2.Perimeter of a rectangle P = 2 × w + 2 × l,.First, let's write down three basic equations for the area, perimeter] and circumcircle radius: How to find the diagonal of a rectangle in that situation? The answer is provided with our diagonal of a rectangle calculator. Sometimes you won't have given the length of two adjacent sides of a rectangle. On the other hand, you can inscribe a circle into a rectangle only if it is a square. The center of a rectangle is equidistant from its vertices therefore, you can always circumscribe a circle on it. They can quickly estimate the perimeter, area, and diagonal of every square you want, just from the length of its side. Try our calculators dedicated to squares, e.g., the square calculator. Its definition is that it has all four sides of equal length alternatively, the angle between two diagonals is right. Its opposite sides are parallel and of equal length, and its two diagonals intersect each other in the middle and are of equal lengths too.Ī square is a special case of a rectangle. This name derives from the fact that a rectangle is a quadrilateral with four right angles (4 × 90° = 360°). The term rectangle comes from the Latin rectangulus, which is a combination of two words: rectus (right, proper) and angulus (angle). ![]() And two other parameters which are not shown in the picture: ![]()
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