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​​ALGEBRA eXAMPLES

Perimeter word problem

4/7/2012

2 Comments

 
The formula for the perimeter of a rectangle is P = 2L + 2W. The perimeter of the local high school soccer field is 268 feet. The length is 34 ft longer than the width. Find the dimensions of the soccer field. 
Perimeter = 2(length) + 2(width)

x = width
x + 34 = length

2x + 2(x + 34) = 268 {perimeter is 2(width) + 2(length)}
2x + 2x + 68 = 268 {used distributive property}
4x + 68 = 268 {combined like terms}
4x = 200 {subtracted 68 from both sides}
x = 50 {divided both sides by 4}
x + 34 = 84 {substituted 50, in for x, into x + 34}

width = 50 ft
length = 84 feet 


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2 Comments
sabrina wilson
8/23/2013 10:53:22 am

this was very helpful for me thank you for posting this!

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Algebra House link
8/23/2013 03:57:00 pm

Thank you for visiting!

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