geometry 2

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Xenia is ordering a cake for her friend’s wedding. She knows that there will be 110 guests at the wedding, and she is trying to decide how large a cake to order. She has been told that each guest should get a piece of cake that is 4 inches by 4 inches. She would like to buy a tiered, square three-layer cake and is trying to decide which sizes of cakes to order. Which combination of cakes should she get? The available sizes, in inches, are:

  • geometry 2 -

    32 × 32
    28 × 28
    24 × 24
    20 × 20
    16 × 16
    12 × 12
    8 × 8

  • geometry 2 -

    A = 4 * 4 = 16in^2 / slice,

    At=16in^2/slice * 110slices = 1760in^2
    needed.


    Choose Sizes:
    32 x 32 = 1024 in^2.
    28 x 28 = 784 in^2.
    Total = 1024 + 784 = 1808 in^2.

    Surplus = 1808 - 1760 = 48 in^2 = 3
    slices.

  • geometry 2 -

    8x8, 12x12, 16x16

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