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12 February, 23:32

If the lengths of the sides of a square are halved, the area is the new square is ...

A. 1/4 the area of th old square

B. 1/2 the area of the old square

C. Equal to the area of the old square

D. Twice the sea of the old square

E. 4 times the area of the old square

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Answers (2)
  1. 13 February, 02:26
    0
    A. 1/4 the area of the old square

    Step-by-step explanation:

    The length of the side of a square is s.

    The area of square = s^2

    If the length of the each side becomes half of the original length, now the length of each side is s/2.

    The area of the smaller square is

    area = (s/2) ^2

    area = s^2/2^2

    area = s^2/4 = 1/4 * s^2

    Original area: s^2

    New area: s^2/4 = 1/4 * s^2

    The new area is 1/4 of the original area.
  2. 13 February, 02:42
    0
    Since it isn't really described in which way sides have been halved, I suppose that all 4 lengths have been halved and used to create a new square.

    That square would be 1/4 of the old square.
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