Maths-
General
Easy

Question

Write a radical equation that relates a square’s perimeter to its area. Explain your reasoning. Use s to represent the side length of the square.

Hint:

Write the reason.

The correct answer is: P=4√A


    Complete step by step solution:
    We know that,
    perimeter of a square with side s = p = 4s…(i)
    Area of a square with side s = A = s2…(ii)
    Here s = p over 4 from (i)
    On substituting this in (ii), we get A equals open parentheses P over 4 close parentheses squared

    not stretchy rightwards double arrow A equals p squared over 16
    table attributes columnalign right columnspacing 0em end attributes row blank row cell not stretchy rightwards double arrow p squared equals 16 A end cell end table
    On taking square root, we get P equals 4 square root of A

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