Question

If the diagonal of a square is doubled, the area of a
square becomes​

Answer 1

answer:

Let the length of each side of the square = sNow, length of each diagonal of square, d = 2√sOriginal area of square, A = s2 = (d2√)2 = d22Now, when the length of each diagonal is doubled,then new length of diagonal, d1 = 2dNow, new area of square, A1 = (d12√)2 = (2d2√)2 = (2√d)2 = 2 d2 = 4 × (d22) = 4Aso, area of the square becomes 4 times of original area when the length of each diagonal is doubled.

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