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12 June, 03:42

Write the area A of a square as a function of its perimeter P ...?

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  1. 12 June, 04:43
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    The answer is A = P²/16

    The perimeter P of a square is sum of its sides s: P = s + s + s + s = 4s

    The area A of a square with side s is: A = s * s = s²

    Step 1: Solve s from the formula for the perimeter.

    Step 2: substitute s from the formula for the perimeter into the formula for the area.

    Step 1:

    P = 4s

    s = P/4

    Step 2:

    A = s²

    s = P/4

    A = (P/4) ²

    A = P²/4²

    A = P²/16
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