Area and Perimeter of Rectangles
Look around you and spot objects that look like a rectangle.
Do you know how to find their area and perimeter?
The area and perimeter of a rectangle are two fundamental properties related to its dimensions, and they are calculated using the following formulas:
1. Area of a Rectangle
The area is the amount of space covered by the rectangle.
Area = Length × Width
Area = Length × Width
- Length: The longer side of the rectangle.
- Width: The shorter side of the rectangle.
2. Perimeter of a Rectangle
The perimeter is the total distance around the rectangle.
Perimeter = 2 × ( Length + Width)
Perimeter = 2 × (Length + Width)
- Add the length and width, then multiply by 2.
Example Calculation
If a rectangle has:
- Length = 10 units
- Width = 5 units
Area:
Area = 10 × 5 = 50 square units
Area =10×5
= 50 square units
Perimeter:
Perimeter = 2 × (10+5)
= 2 × 15
= 30 units
Perimeter = 2×(10+5)
= 2×15
= 30 units
Q. The rectangular field shown is 310 ft. long and 250 ft. wide. What is its area?
Q. The window has a length of 160 cm and a width of 80 cm. What is its perimeter?
Q. In what real-life situations do you need to measure the area of a rectangle?
Q. What tasks require measuring the perimeter of a rectangle?
- Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units.
- The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.