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 © Algebra House
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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