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The length of a rectangle is 5 times as long as the width. If the perimeter is 60 meters, find the length and the width.​

2 Answers

2 votes

Answer: length=25 width=5

Explanation:

let L= length

let W= width

length is 5 times as long as the width means; L=5*W=5W

perimeter of rectangle; 60= L+L+W+W=2L+2W

substituting L we have; 60=2*5W+2W=10W+2W=12W

therefor 60=12W

60/12=12W/12

W=5

remember; L=5W=5*5=25

User UnworthyToast
by
4.7k points
4 votes

hi <3

lets call our width 'x' and our length '5x'

so lets create an equation with what we know:

5x + 5x + x + x = 60

simplify:

12x = 60

divide both sides by 12:

x = 5

5(5) = 25

therefore, the width is 5m and the length is 25m

hope this helps :)

User Conan Lee
by
4.5k points