Perimeter is the sum of the length of the sides used to make the given figure. The length and the width of the rectangle are 29 centimetres and 12 centimetres, respectively.
What is the perimeter?
Perimeter is the sum of the length of the sides used to make the given figure.
Let the width of the rectangle be represented by x.
Given that the length of a rectangle is 5 centimetres more than twice the width. Therefore, we can write the dimensions as,
Width = x
Length = 2x + 5
Now, as it is given that the perimeter of the rectangle is 82 centimetres, therefore, the perimeter can be written as,
Perimeter = 2(Length + Width)
82 = 2[(2x + 5) + x]
82 = 2(2x + 5 + x)
82 = 2(3x + 5)
82 = 6x + 10
82 - 10 = 6x
6x = 72
x = 12
Further, the dimensions of the rectangle are,
Width = x = 12 centimeters
Length = 2x + 5 = 2(12) + 5 = 29 centimeters
Hence, the length and the width of the rectangle are 29 centimetres and 12 centimetres, respectively.
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