SOLUTION: The length and width of a rectangle are consecutive even integers. Find the area if the perimeter is 84 meters. How do I solve this problem?? I know the answer is 440 meters square

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Question 766332: The length and width of a rectangle are consecutive even integers. Find the area if the perimeter is 84 meters. How do I solve this problem?? I know the answer is 440 meters squared.
Answer by lwsshak3(11628) About Me  (Show Source):
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The length and width of a rectangle are consecutive even integers. Find the area if the perimeter is 84 meters. How do I solve this problem?? I know the answer is 440 meters squared.
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let x=width (even integer)
x+2=length (consecutive even integer
perimeter=2*width+2*length
perimeter=2x+2(x+2)
2x+2x+4=84
4x=80
x=20
x+2=22
area=length*width=20*22=440 m^2