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Rectangle belongs to the family of parallelograms, and parallelograms come under the types of quadrilaterals. The quality of a rectangle is that it has all its internal angles at 90°. The opposite sides of the rectangle are equal, however, the adjacent sides are not necessarily equal. Table of Content Rectangle FormulasFor a Rectangle ABCD with length(l) and breadth(b), various formulas used to solve problems of rectangles are:
Area of a RectangleThe area can be characterized as how much space is covered by a level surface of a specific shape. It is estimated as far as the “quantity of” square units (square centimetres, square inches, square feet, and so on) The area of a rectangle is the number of unit squares that can squeeze into a rectangle. A few instances of rectangular shapes are the level surfaces of PC screens, slates, blackboards, and so on.
Proof:
Calculating Area of RectangleFollow the steps added below to calculate Area of Rectangle Step 1: Note the components of length and breadth from the given information. Step 2: Find the result of length and breadth values. Step 3: Give the response in square units. Area of a Rectangle by DiagonalDiagonal of a rectangle is the straight line inside the rectangle interfacing its contrary vertices. There are two diagonals in the rectangle and both are of equivalent length. We can track down the diagonal of a rectangle by utilizing the Pythagoras theorem. (Diagonal)2 = (Length)2 + (Breadth)2 (Length)2 = (Diagonal)2 – (Breadth)2 Length = √{(Diagonal)2 – (Breadth)2} Now, the formula to calculate the area of a rectangle is Length × Breadth. Alternatively, we can write this formula as √{(Diagonal)2 – (Breadth)2} × Breadth.
Perimeter of RectanglePerimeter of a rectangle is the complete distance covered by its limits or the sides. Since there are four sides of a rectangle, along these lines, the perimeter of the rectangle will be the amount of each of the four sides. Since the perimeter is a direct measure, accordingly, the unit of the perimeter of the rectangle will be in meters, centimetres, inches, feet, and so on. Perimeter of a Rectangle FormulaPerimeter is nothing but boundary. In the above diagram, we have 4 sides. Adding those 4 sides we will get the perimeter of the rectangle. Sum of every side = L+ L+ B + B
Examples on Rectangle FormulasExample 1: Find the area of the rectangle whose length is 21 units, width is 11 units. Solution:
Example 2: Find the area of a rectangle of length of 12 mm and breadth of 8 mm. Solution:
Example 3: Finding the area of a rectangle whose length is 10.5 cm and breadth is 5.5 cm. Solution:
Example 4: The area of a rectangle is 32 cm2. If its breadth is 4 cm then find its length. Solution:
Example 5: Find the perimeter of a rectangle whose length and width are 11 cm and 5.5 cm, respectively. Solution:
Example 6: A rectangular yard has a length equal to 12 cm and a perimeter equal to 60 cm. Find its width. Solution:
Example 7: Find the perimeter of a rectangle whose length and width are 12cm and 4cm, respectively. Solution:
Example 8: Find the perimeter of a rectangle whose length is 21 cm and width is 13 cm. Solution:
Practice Questions on Rectangle FormulasQ1. Find the area of a rectangle with length 8 units and width 5 units. Q2. Determine the perimeter of a rectangle with length 12 units and width 6 units. Q3. If the area of a rectangle is 48 square units and its length is 8 units, what is its width? Q4. Given that the perimeter of a rectangle is 40 units and its length is 12 units, what is its width? Q5. A rectangle has a diagonal of length 10 units. If its length is 6 units, what is its width? Q6. Calculate the length of the diagonal of a rectangle with length 9 units and width 12 units. Q7. If the perimeter of a rectangle is 60 units and its width is 8 units, what is its length? Q8. A rectangle has an area of 72 square units. If its width is 6 units, what is its length? Q9. Find the length of a rectangle with a perimeter of 28 units and a width of 5 units. Q10. If the length of a rectangle is x + 4 units and its width is x – 2 units, express the area of the rectangle in terms of x FAQs on Rectangle FormulasWhat is the formula for the area of a rectangle?
What is the formula for the perimeter of a rectangle?
What is the formula for the diagonal of a rectangle?
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Reffered: https://www.geeksforgeeks.org
| Mathematics |
Type: | Geek |
Category: | Coding |
Sub Category: | Tutorial |
Uploaded by: | Admin |
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