The running yard for a dog kennel must contain at least 900 square feet. If a 20-foot side of the kennel is used as part of one side of a rectangular yard with 900 square feet, what dimensions will require the least amount of fencing? Round your answer to the nearest feet.
A)90 ft by 10 ft
B)900 ft by 1 ft
C)30 ft by 30 ft
D)60 ft by 15 ft
E)180 ft by 5 ft

Question

The running yard for a dog kennel must contain at least 900 square feet. If a 20-foot side of the kennel is used as part of one side of a rectangular yard with 900 square feet, what dimensions will require the least amount of fencing? Round your answer to the nearest feet. ​
A)90 ft by 10 ft
B)900 ft by 1 ft
C)30 ft by 30 ft
D)60 ft by 15 ft
E)180 ft by 5 ft

Quizplus · Accepted Answer

To minimize the amount of fencing needed while maintaining an area of 900 square feet, the yard should be as close to a square as possible, since a square has the smallest perimeter for a given area. The square root of 900 is 30, so a yard that is 30 ft by 30 ft would be the closest to a square shape and thus require the least amount of fencing.

The Running Yard for a Dog Kennel Must Contain at Least