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?

The length of floor is 76 ft and width is 25 ft.Step-by-step explanation:Perimeter of office floor = 202 ftWidth = wLength = l = 3w + 1As the office floor is in rectangular shape, therefore,Perimeter = 2(Length + width)[tex]202=2(3w+1+w)\\202=2(4w+1)\\202=8w+2\\202-2=8w\\200=8w\\8w=200[/tex]Dividing both sides by 8[tex]\frac{8w}{8}=\frac{200}{8}\\w=25\ ft[/tex]Length = [tex]3(25)+1=75+1[/tex]Length = 76 ftThe length of floor is 76 ft and width is 25 ft.Keywords: Perimeter, rectanglesLearn more about rectangles at:brainly.com/question/10703930brainly.com/question/10772025#LearnwithBrainly