Question

1. the area of the floor of a square play pen is 5 square meters. what is the perimeter of the play pen? approximate your answer by rounding to the nearest integer. a. 8 meters b. 9 meters c. 10 meters d. 11 meters

Explanation:

Step1: Recall the area - side relationship of a square

The area formula of a square is $A = s^{2}$, where $A$ is the area and $s$ is the side - length. Given $A = 5$ square meters, then $s=\sqrt{5}$ meters.

Step2: Recall the perimeter formula of a square

The perimeter formula of a square is $P = 4s$. Substitute $s=\sqrt{5}$ into the formula, we get $P = 4\sqrt{5}$ meters.

Step3: Approximate the value of $4\sqrt{5}$

We know that $\sqrt{5}\approx2.24$ (since $2.24\times2.24 = 5.0176\approx5$), then $4\sqrt{5}\approx4\times2.24 = 8.96$ meters.

Step4: Round to the nearest integer

Rounding $8.96$ to the nearest integer gives $9$ meters.

Answer:

B. 9 meters