Question

The dealership main office floor is in the shape of a rectangle with a perimeter of 202 feet. The length is 1 foot more than 3 times the width. What is the length and width of the main office floor?

Answer 1

The length of floor is 76 ft and width is 25 ft.

Step-by-step explanation:

Perimeter of office floor = 202 ft

Width = w

Length = l = 3w + 1

As the office floor is in rectangular shape, therefore,

Perimeter = 2(Length + width)

$202=2(3w+1+w)\\202=2(4w+1)\\202=8w+2\\202-2=8w\\200=8w\\8w=200$

Dividing both sides by 8

$\frac{8w}{8}=\frac{200}{8}\\w=25\ ft$

Length = $3(25)+1=75+1$

Length = 76 ft

The length of floor is 76 ft and width is 25 ft.

Keywords: Perimeter, rectangles

Learn more about rectangles at:

• brainly.com/question/10703930
• brainly.com/question/10772025

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