Question

1. this question is calculator active. the area of a square wall is 157 square feet. which measurement is closest to the side length of this wall? 39 in 50 in 78.5 in 12.5 in

Explanation:

Step1: Recall area formula for square

The area formula for a square is $A = s^{2}$, where $A$ is the area and $s$ is the side - length. Given $A = 157$ square feet. We need to find $s$, so $s=\sqrt{A}$.

Step2: Calculate side - length in feet

$s=\sqrt{157}\approx12.53$ feet.

Step3: Convert feet to inches

Since 1 foot = 12 inches, then $s = 12.53\times12=150.36$ inches. But if we work directly with the square - root value and convert at the end: $\sqrt{157}\times12\approx12.53\times12 = 150.36$ inches. Another way is to first note that if we want to estimate, $\sqrt{157}\approx12.5$ feet. And $12.5$ feet in inches is $12.5\times12 = 150$ inches. Among the given options, the closest one to the side - length calculation (after conversion) is when we consider the side - length in feet first and then convert.

Answer:

12.5 in