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Yes, but it would be very long and narrow. To get a perimeter of 30 you could have two sides that are 14 and two sides that are 1 which gives an area of 14. Conversely you could have an object with two sides that are 13 and two sides that are 2 which gives you an area of 26. Since 18 is between 14 and 26, there must be a shape between these two shapes that has area 18 and perimeter 30. You can find out exactly what those dimensions are by solving the two simultaneous equations for area and perimeter.

area = width X height

and

perimeter = 2width + 2height

knowing the area and perimeter, solve one equation for width or height and plug it into the other equation and solve.

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Q: Is it possible to get an area of 18 and the perimeter of 30?
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