Q:

ANSWER PLEASE A rectangle's length and width are in a ratio of 9:1. The perimeter is 100 inches. What are the length and width?

Accepted Solution

A:
The length of rectangle is 45 inches and width is 5 inches.Step-by-step explanation:Given, Perimeter = 100 inchesThe ratio of length and width = 9:1It 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 = 1xPerimeter = 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 inchesWidth = x = 5 inchesThe length of rectangle is 45 inches and width is 5 inches.Keywords: rectangle, perimeterLearn more about perimeters at:brainly.com/question/13018923brainly.com/question/13035995#LearnwithBrainly