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The area of a rectangular piece of land is 30.6 square miles. If the width of the land is 4.5 miles, how much longer is the length of the land than the width?

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Jose M. | Patient, Bilingual (Spanish) and Knowledgeable Math and Science TutorPatient, Bilingual (Spanish) and Knowled...
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Area of Rectangle = Length x Width = L x W = 30.6 mi2
 
We know the width, W = 4.5 mi. So:
 
L x W = 30.6 mi2
L x (4.5 mi) = 30.6 mi2
 
Divide both sides by 4.5 mi
 
L = 30.6/4.5
L = 6.8 mi
 
The question is asking how much longer is the length.
 
How much longer = L - W = 6.8 - 4.5 = 2.3 mi
 
The length is 2.3 mi longer than the width.