SOLUTION: A rectangular field is half as long again as it is wide and its area is 15 acres. Find the time taken to walk around it four times at 3 miles an hour.

Question 1015877: A rectangular field is half as long again as it is wide and its area is 15 acres. Find the time taken to walk around it four times at 3 miles an hour.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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W=width; L=length=1.5W
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LW=Area
(1.5W)(W) = 15 acres
1.5W^2=(15 acres)(43560 ft^2/acre)
1.5W^2=653400ft^2
W^2=435600ft^2
W=660 ft
L=1.5W=1.5(660 ft)=990 ft
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P=2(L+W)=2(990ft+660ft)=2(1650ft)=3300ft
(3300ft)(1mile/5280ft)=0.625 miles
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Distance around the field is 0.625 miles.
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(0.625mi)(4)=2.5 miles
Four laps around the field is 2.5 miles.
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(2.5mi)/(3mi/hr) = 0.8333 hours = 50 minutes
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ANSWER: It would take 50 minutes to walk around the field 4 times.

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