Since the rectangle has right angles, you can use Pythagoras' Theorem in this case.
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You can calculate this using the Pythagorean formula for a right triangle.
The area of rectangle is : 400.0
Since a square has right angles, you can use the Pythagorean Theorem to calculate the diagonal. Specifically, the diagonal of a square is equal to the length of a side, multiplied by the square root of 2.
There is no definitive answer for this question. There are actually an infinite number of valid answers, depending completely on the proportions of the 20-acre rectangle.The shortest possible distance around a 20-acre rectangle is 3,733.52 feet; in this case the rectangle is actually a square that is 933.38 feet on a side. Every other possible rectangle would have a longer circumference.ExamplesA rectangle that measures 500 feet by 1,742.4 feet would enclose 20 acres; it would have a circumference of 4,484.8 feet.A rectangle that measures 200 feet by 4,356 feet would enclose 20 acres; it would have a circumference of 9,112 feet.A rectangle that measures 50 feet by 17,424 feet would enclose 20 acres; it would have a circumference of 34,948 feet.As these examples illustrate, the distance around the 20-acre rectangle increases dramatically as the rectangle becomes farther from square. In fact, the upper limit of the circumference would be defined as "approaches infinity" as the short sides of the rectangle approach zero in length.
Well, honey, since you're too lazy to whip out a ruler, I'll do the math for you. The diagonal of a square is equal to the side length times the square root of 2. So, for a 20x20 foot square, the diagonal would be 20√2 feet, which is roughly 28.28 feet. Hope that clears things up for ya!