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10. the area of the floor of a square play pen is 6 square meters. what…

Question

  1. the area of the floor of a square play pen is 6 square meters. what is the perimeter of the play pen? approximate your answer by rounding to the nearest integer. a. 8 b. 9 c. 10 d. 11

Explanation:

Step1: Find side - length of square

The area formula for a square is $A = s^{2}$, where $A$ is the area and $s$ is the side - length. Given $A = 6\ m^{2}$, then $s=\sqrt{6}\ m$.

Step2: Calculate the perimeter of square

The perimeter formula for a square is $P = 4s$. Substitute $s=\sqrt{6}$ into the formula, we get $P = 4\sqrt{6}\ m$.

Step3: Approximate the value

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

Answer:

C. 10