Question

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?

Answer 1

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)

$100=2(9x+x)\\100=2(10x)\\100=20x\\20x=100$

Dividing both sides by 20

$\frac{20x}{20}=\frac{100}{20}\\x=5$

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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