Math

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A string is 12in. long which makes a rectangle area of 5sq.inch can you make a shape that has a greater area with the string, if so what's the shape and area.

  • Math -

    The shape giving you the largest area is a circle

    so 2πr = 12
    r = 6/π

    area = πr^2 = π(36/π^2) = 36/π
    or appr 11.46 , more than double the area of the rectangle

    If you had to stay with a rectangle, then with a perimeter of 12, we could have used a square with sides 3 units.
    then the area would have been 9 inches^2

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