A square with area 196 square inches has sidelength $\displaystyle \sqrt{196} = 14$ inches, and therefore has perimeter $\displaystyle 4 \cdot 14 = 56$ inches

To find the perimeter of a square, you must add together all the sides. In this case, we are adding $\displaystyle \small \frac{1}{8}$ four times.

$\displaystyle \small \frac{1}{8}+\frac{1}{8}+\frac{1}{8}+\frac{1}{8}=\frac{4}{8}$

Since all of the denominators are the same, there is no need to find a commond denominator, so we add together the numerators.  This gives us $\displaystyle \small \frac{4}{8}$.

Since both the numerator and denomator are divisible by four, we must simplify this fraction.

$\displaystyle \small \frac{4/4}{8/4}= \frac{1}{2}$

The perimeter of the square is $\displaystyle \small \small \frac{1}{2}$.

A square has four sides of the same length.

One foot is equal to twelve inches; since the sum of the lengths of three of the congruent sides is twelve inches, each side measures

$\displaystyle 12 \div 3 = 4$ inches. 

The perimeter is 

$\displaystyle 4 \times 4 = 16$ inches.

One yard is equal to 36 inches. A square has four sides of equal length, so one side of the square has length

$\displaystyle 36 \div 4 = 9$ inches.

Since $\displaystyle 9 > 8$, (A) is greater.

One meter is equal to 1,000 millimeters, so the square has perimeter

$\displaystyle 5 \times 1,000 = 5,000$ millimeters. 

A square has four sides of equal length, so one side of the square has length 

$\displaystyle 5,000 \div 4 = 1,250$ millimeters.

The quantities are equal.

One mile is equal to 5,280 feet. A square has four sides of equal length, so one side of the square has length

$\displaystyle 5,280 \div 4 = 1,320$ feet.

The quantities are equal.

100 centimeters are equal to one meter, so 9,000 centimeters are equal to 

$\displaystyle 9,000 \div 100 = 90$ meters.

A square has four sides of the same length. Since the sum of the lengths of three of the congruent sides is 9,000 centimeters, or 90 meters, each side measures

$\displaystyle 90 \div 3 = 30$ meters.

The perimeter is four times this, which is 

$\displaystyle 30 \times 4 = 120$ meters.

One meter is equal to 100 centimeters.

$\displaystyle P=1m=100cm$

A square has four sides of equal length, so we will need to divide by 4 to find the length of one side.

$\displaystyle P=4s=100cm$

$\displaystyle P\div4=s$

$\displaystyle 100cm \div 4 = 25cm$

$\displaystyle 250cm > 25cm$, so (A) is greater

The perimeter of a square is four times its side length:

$\displaystyle P=4s$

$\displaystyle s=4t$

$\displaystyle P=4\times4t$

$\displaystyle P=16t$

Since the perimeter is equal to $\displaystyle 16t$, (A) and (B) are equal.

The length of one side of the square - in particular, that of $\displaystyle \overline{SQ}$ - is equal to one fourth its perimeter, so it can be determined that $\displaystyle SQ = 64 \div 4 = 16$. However, no relation among the sides of the hexagon is given - in particular, it is not given that the hexagon is regular - so the length of $\displaystyle \overline{HE}$ cannot be determined. Insufficient information is given.