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.

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.

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Chicago, IL

Perimeter 180 feet

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

so,

2w + 2(5w) = 180

2w + 10w = 180

12w = 180

Middletown, CT

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

Blacksburg, VA

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 :)

Farmington, MI

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

L=5*W

L = 5*15

******************

CHECK: 2*W + 2*L = 180

2*15 + 2*75 = ?

30 + 150 = 180 OK!

Colby P.

Seasoned Math/Science and Test Prep. Specialist

New York, NY

Kevin L.

Native Mandarin, MS in Financial Eng / Comp Sci, CFA

Jersey City, NJ

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