Two pegasi (winged horses) are flying at a height of 10000 ft along straight-line courses that...

 

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Two pegasi (winged horses) are flying at a height of 10000 ft along straight-line courses that intersect at right angles. Pegasus A (which is unexpectedly being ridden by John Cena) is approaching the intersection at a rate of 10 miles per hour. Pegasus B is approaching the intersection at a rate of 12 miles per hour. At what rate is the distance between them changing when A is 5 miles from the intersection point and B is 12 miles from the intersection point? (10 points) Three mermaids are making a garden on a rectangular patch of coral reef. The total area of the rectangle is 216 m². They wish to enclose it with a fence and divide it into three equal parts using two internal fences parallel to one of the sides. What dimensions for the outer rectangle will require the smallest total length of fence and how much fence will be needed? Two pegasi (winged horses) are flying at a height of 10000 ft along straight-line courses that intersect at right angles. Pegasus A (which is unexpectedly being ridden by John Cena) is approaching the intersection at a rate of 10 miles per hour. Pegasus B is approaching the intersection at a rate of 12 miles per hour. At what rate is the distance between them changing when A is 5 miles from the intersection point and B is 12 miles from the intersection point? (10 points) Three mermaids are making a garden on a rectangular patch of coral reef. The total area of the rectangle is 216 m². They wish to enclose it with a fence and divide it into three equal parts using two internal fences parallel to one of the sides. What dimensions for the outer rectangle will require the smallest total length of fence and how much fence will be needed?