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The perimeter of a rectangular floor is 180 feet. Find the dimensions of the floor if the length is five times the width

The perimeter of a rectangular floor is 180 feet . Find the dimensions of the floor if the length is five times the width.

The floor has a length of ?feet and a width of ? feet.

4 Answers by Expert Tutors

Ralph L. | Algebra I, II, Visual Basic, Beginning C++ tutorAlgebra I, II, Visual Basic, Beginning C...
4.0 4.0 (1 lesson ratings) (1)
1
Perimeter 180 feet

Let w be the width, so length is 5w.

so,

2w + 2(5w) = 180

2w + 10w = 180

12w = 180

w = 15, so length is 75

Vivian L. | Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACHMicrosoft Word/Excel/Outlook, essay comp...
3.0 3.0 (1 lesson ratings) (1)
1
Hi again Kevin;
length...5x
width...x
Perimeter=2(length + width)
180=2(5x+x)
180=2(6x)
180=12x
Let's divide both sides by 12...
180/12=(12x)/12
15=x
width...15 feet
length...5(15)=75 feet

Let's check our work...
180=2(75+15)
180=2(90)
180=180

HI, Vivian thank you again for all of your help. I feel like I kinda know you with all of the help you've shown me. thank you so much. Also I would have been voting every time but Im kinda dense like that at times lol I didn't notice the voting until recently.
I feel like I know you too.
Brad M. | STEM Specialist plus Business, Accounting, Investment & EditingSTEM Specialist plus Business, Accountin...
4.9 4.9 (230 lesson ratings) (230)
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Hey Kevin -- cutting the perimeter in half means one L and one W is 90ft ...

since the ratio is 5:1, W is 1/6 of 90ft or 15ft ... 75L, 15W does it ... Regards :)
BRUCE S. | Learn & Master Physics & Math with Bruce SLearn & Master Physics & Math with Bruce...
4.9 4.9 (36 lesson ratings) (36)
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DEFINITION:    2*W + 2*L = PERIMETER OF A RECTANGLE,  W= WIDTH, L= LENGTH

GIVEN:  L= 5*W

2*W + 2*(5*W) = 180

2*W + 10*W = 180

12 * W = 180

W= 180 / 12

W=  15

L=5*W

L = 5*15

L = 75
******************

CHECK:  2*W + 2*L = 180

2*15 + 2*75 = ?

30 + 150 = 180   OK!