how to find the area of something
Expanse of Rectangle
The area of any shape is the number of unit squares that can fit into it. Hither "unit of measurement" refers to one (1) and a unit square is a square with a side of i unit. Then, the area of a rectangle is the number of unit squares within the boundary of the rectangle. Alternatively, the infinite occupied within the perimeter of a rectangle is called the surface area of the rectangle. One good example of a rectangle shape is the tiles of unit length in your house. You can easily figure out how much space the floor occupies by counting the number of tiles. This will too assist you determine the area of the rectangular flooring.
| 1. | What is Surface area of a Rectangle? |
| 2. | Area of a Rectangle Formula |
| 3. | How to Calculate Area of Rectangle? |
| 4. | Area of a Rectangle by Diagonal |
| five. | Why Area of a Rectangle is Length × Latitude? |
| half-dozen. | FAQs on Surface area of Rectangle |
What is Expanse of a Rectangle?
The area tin be divers as the amount of space covered by a flat surface of a item shape. Information technology is measured in terms of the "number of" foursquare units (square centimeters, foursquare inches, square feet, etc.) The area of a rectangle is the number of unit squares that can fit into a rectangle. Some examples of rectangular shapes are the flat surfaces of laptop monitors, blackboards, painting canvas, etc. You lot can use the formula of the area of a rectangle to observe the space occupied by these objects. For case, let the states consider a rectangle of length 4 inches and width iii inches.
Expanse of a Rectangle Definition: Area occupied past a rectangle within its boundary is chosen the surface area of the rectangle.
Permit the states depict unit of measurement squares inside the rectangle. Each unit of measurement foursquare is a square of length one inch.
Now, count the number of unit squares in the above figure. How many squares can you observe? There are 12 squares in total. We take already learned that area is measured in square units. Since the unit of measurement of this rectangle is "inches," the expanse is measured and written in square inches. Thus, the area of the to a higher place rectangle = 12 square inches.
Expanse of a Rectangle Formula
The formula of the expanse of a rectangle is used to find the area occupied by the rectangle within its boundary. In the to a higher place case, the area of the rectangle whose length is 4 inches and the width is iii inches is 12 foursquare inches. We take four × 3 = 12. The area of a rectangle is obtained by multiplying its length and width. Thus, the formula for the surface area, 'A' of a rectangle whose length and width are '50' and 'w' respectively is the product " l × w".
Expanse of a Rectangle = (Length × Breadth) square units
How to Calculate Expanse of Rectangle?
The area of a rectangle is equal to its length times its width. Follow the steps mentioned below to observe the area of a rectangle:
- Step 1: Annotation the dimensions of length and breadth from the given data.
- Step 2: Detect the product of length and latitude values.
- Step 3: Give the reply in square units.
Allow us take an instance to empathize the calculation of the area of a rectangle. We will find the area of the rectangle whose length is 15 units and latitude is 4 units. To find the surface area, first, find the length and width.
Given, length = 15 units and width = iv units.
The formula to find the expanse of a rectangle is A = 50 × w. Substitute 15 for '50' and 4 for 'west' in this formula. This implies, area of the rectangle = 15 × 4 = 60.
Therefore, the area of the rectangle = sixty square units.
Area of a Rectangle by Diagonal
The diagonal of a rectangle is the direct line inside the rectangle connecting its opposite vertices. There are two diagonals in the rectangle and both are of equal length. We can find the diagonal of a rectangle by using the Pythagoras theorem.
(Diagonal)two = (Length)two + (Breadth)2
(Length)2 = (Diagonal)two - (Breadth)2
Length = ⎷(Diagonal)2 - (Breadth)2
Now, the formula to calculate the area of a rectangle is Length × Latitude. Alternatively, we tin can write this formula as ⎷((Diagonal)two - (Breadth)2) × Breadth.
So, Surface area of a Rectangle = Breadth (⎷(Diagonal)ii - (Breadth)two).
Why Surface area of a Rectangle Is Length × Breadth?
Have you ever wondered why the formula to discover the area of a rectangle is Length × Latitude? Permit'southward derive the formula of the area of a rectangle. Nosotros will draw a diagonal AC in the rectangle ABCD. Conspicuously, the diagonal AC divides the rectangle ABCD into two congruent triangles. The area of the rectangle is the sum of the area of these ii triangles.
Area of Rectangle ABCD = Area of Triangle ABC + Expanse of Triangle ADC
= 2 × Area of Triangle ABC
= 2 × (1/2 × Base of operations × Elevation)
= AB × BC
= Length × Breadth
Expanse of Rectangle Examples
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Practice Questions on Area of Rectangle
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FAQs on Area of Rectangle
What Is the Area of a Rectangle in Geometry?
The area of the space occupied within the perimeter of a rectangle is chosen the surface area of a rectangle. It is calculated by finding the product of the length and breadth of the rectangle.
What Is the Perimeter and Area of a Rectangle?
The perimeter of a rectangle is the sum of its four sides. Hence, Perimeter of Rectangle = ii (Length + Width) units. The expanse of a rectangle is defined as a product of length and width. It is expressed in terms of foursquare units.
What Is the Formula for the Area of a Rectangle?
The area of a rectangle (A) is the product of its length 'a' and width or breadth 'b'. So, Area of Rectangle = (a × b) square units.
What Is the Unit of measurement of Area of a Rectangle?
The unit of surface area of a rectangle is square units. For case, if the dimensions of a rectangle are 4 inches × 3 inches. The surface area of the rectangle is 12 square inches.
Why Practise We Calculate the Surface area of a Rectangle?
We calculate the area of a rectangle to find the surface area occupied by the rectangle within its perimeter.
How tin we Find the Area of a Rectangle Using its Diagonal?
Nosotros can find the diagonal of a rectangle by using the Pythagoras theorem: (Diagonal)2 = (Length)ii + (Breadth)ii. Now, the formula to calculate the expanse of a rectangle is Length × Breadth. Alternatively, nosotros can write this formula as (⎷(Diagonal)2 - (Breadth)2) × Breadth.
Is the Area of the Rectangle the Aforementioned as the Area of the Square?
No, the area of the square is not necessarily the same as the surface area of the rectangle because every foursquare is a rectangle with length and breadth equal but all rectangles are not square. The formula to summate the area of a rectangle is Length × Breadth and that of the foursquare is (side)2.
Source: https://www.cuemath.com/measurement/area-of-rectangle/
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