Perimeter of Rectangle
A rectangle can be explained as a 4-sided quadrilateral which contains equal opposite sides. In a rectangle, the opposite sides are always parallel to each other and commonly classified as equiangular quadrilateral. As the rectangle has no equal adjacent sides, we always get 2 different measurements. In the below image, the corners are A, B, C and D. The sides of this rectangle are AB, BC, CD and AD. Finally, the diagonals are AC and BD. M
How to Calculate the Perimeter of a Rectangle?
Perimeter of a rectangle is nothing but the overall distance outside the rectangle as shown in the below image:
Steps to Calculate the Perimeter of a Rectangle
- Check the length and the width for the given rectangle
- By short, we'll call the length as 'l' and width as 'w'.
- Apply the formula, 2(l+w) or just add l + w + l + w and you've got the perimeter for the rectangle.
Perimeter of a Rectangle ProblemsProblem 1:
A rectangle is 6m long and 5 m wide. What is its perimeter?Solution:
Length, l = 6m.
Width, w = 5m.
Perimeter of the rectangle = 2(l+w) = 2(6+5) = 2 x 11 = 22 m.Problem 2:
A rectangle is 5cm long and its perimeter is 18cm. What is its width?Solution:
Length, l = 5cm.
Width, w say.
Perimeter of the rectangle = 18 cm.
Perimeter of the rectangle = 2(l+w)= 2l + 2w = 2(5) + 2w = 10 + 2w
Thus, 10 + 2w = 18
2w = 18 - 10 = 8
w = 4
Thus the width of the rectangle is 4 cm.Problem 3:
In a rectangle's length is 5x + 2 and its width is 5x - 2. If its Perimeter is 40 cm, what is the value of x? Solution:
Length, l = 5x + 2.
Width, w = 5x - 2.
The Perimeter of the rectangle = 40 cm. ......(1)
Also by the definition of Perimeter of rectangle,
Perimeter of rectangle = 2(l*w) = 2[(5x + 2)+(5x - 2)] .....(2)
Equating (1) and (2),
2[(5x + 2)+(5x - 2)] = 40
(5x + 2)+(5x - 2) = 40/2 = 20
10x = 20
x = 20/10
x = 2
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