Question

the area of the floor of a square - shaped play pen is 6 square meters. what is the perimeter of floor of the play pen? express your answer by rounding to the nearest whole number. a = 6 m²

Explanation:

Step1: Recall perimeter formula for square

The perimeter $P$ of a square with side - length $s$ is $P = 4s$. Given that the area $A$ of the square is $A=s^{2}=6\ m^{2}$, then $s=\sqrt{6}\ m$.

Step2: Calculate the perimeter

Substitute $s = \sqrt{6}$ into the perimeter formula: $P = 4s=4\sqrt{6}\ m$.

Step3: Approximate the value

We know that $\sqrt{6}\approx2.45$. Then $P = 4\sqrt{6}\approx4\times2.45 = 9.8\ m$. Rounding to the nearest whole number, $P\approx10\ m$.

Answer:

$10$ m