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Add all the sides up.. the perimeter would be?


12+12+24+24 or (12*2) + (24*2)=72

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Q: How do you get perimeter of pool 24' x 12'?
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A rectangle had an area of 24ft2 what is the length and width of the rectangle with the greatest perimeter?

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.


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Let the dimensions be x and y:- Perimeter: 2(x+y) = 24 => x+y = 12 => y = 12-x Area: xy = 32 => x(12-x) = 32 => 12x-x2-32 = 0 Solving the above quadratic equation gives x = 4 and x = 8 Therfore the dimensions of the rectangle are 4 units by 8 units Check: 2(4+8) = 24 units and 4*8 = 32 square units


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