The length of rectangle is 45 inches and width is 5 inches.
Step-by-step explanation:
Given,
Perimeter = 100 inches
The ratio of length and width = 9:1
It means that 9 times of any number and 1 times of any number will be the original length, therefore,
Let,
x be the that number.
Length = 9x
Width = 1x
Perimeter = 2(Length+width)
[tex]100=2(9x+x)\\100=2(10x)\\100=20x\\20x=100[/tex]
Dividing both sides by 20
[tex]\frac{20x}{20}=\frac{100}{20}\\x=5[/tex]
Length = 9x = 9*5 = 45 inches
Width = x = 5 inches
The length of rectangle is 45 inches and width is 5 inches.
Keywords: rectangle, perimeter
Learn more about perimeters at:
- brainly.com/question/13018923
- brainly.com/question/13035995
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