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Q: Length of rectangle is 3 times as great as its width. if the perimeter of the rectangle is no more than 72 cm. What is the length of the rectangle?

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Yes it is.

PRINT "Give me the rectangle's length.": Input L PRINT "Give me the rectangle's width.": Input W PRINT "The rectangle's area is "; L x W PRINT "The rectangle's perimeter is "; 2 x (L + W) PRINT "You've been a great audience. I'm here til Thursday. Don't forget to tip your waiter. Have a nice day."

With great difficultly. The area could be any value greater than 0 units2 and less than or equal to the area of a square with the given perimeter which would be 1/16 x perimeter2 units2. To know which of the possible areas you would need to know the length of one side, then you can work out the area: perimeter = 2 x (length + width) ⇒ width = (1/2 x perimeter) - length ⇒ area = length x width = length x ((1/2 x perimeter) - length) = (1/2 x perimeter x length) - length2

Assuming that the length is at least as great as the width, the length can have any value, L, between 25 and 50 feet. The width, W, then would be 50 - L feet.

Algebra works great here. Let's use three variables: P for perimeter, L for length and W for width. Then we can rewrite the above in terms of math:W = (1/2)(L - 6)

The dimensions are W and W+M where W is the width.

The rectangle with the smallest perimeter for a given area is the square. The rectangle with the greatestperimeter for a given area can't be specified. The longer and skinnier you make the rectangle, the greater its perimeter will become. No matter how great a perimeter you use to enclose 24 ft2, I can always specify a longer perimeter. Let me point you in that direction with a few examples: 6 ft x 4 ft = 24 ft2, perimeter = 20 ft 8 ft x 3 ft = 24 ft2, perimeter = 22 ft 12 ft x 2 ft = 24 ft2, perimeter = 28 ft 24 ft x 1 ft = 24 ft2, perimeter = 50 ft 48 ft x 6 inches = 24 ft2, perimeter = 97 ft 96 ft x 3 inches = 24 ft2, perimeter = 192.5 ft 288 ft x 1 inch = 24 ft2, perimeter = 576ft 2inches No matter how great a perimeter you find to enclose 24 ft2, I can always specify a rectangle with the same area and a longer perimeter.

There is a great variability in the length.

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almost as big as me

55000

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big

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The total length of New York's oceanic coastline is 127 miles long. The length of New York's coastline, including the length of the Great Lakes coastlines is 2,625 miles long.