The perimeter of a rectangle is equal to twice the sum of its length and its width, which here would be, in inches,

.

Therefore, the correct choice is that all four measurements are equal to the perimeter.

A square with area 10,000 square centimeters has sidelength  centimeters, and perimeter  centimeters. 

Not enough information is given about the rectangle with area 8,000 square centimeters to determine its perimeter. For example, if its dimensions are 100 centimeters by 80 centimeters, its perimeter is  centimeters. If the dimensions are 200 centimeters by 40 centimeters, its perimeter is  centimeters. Both cases are consistent with the conditions of the problem, yet one makes (a) greater and one makes (b) greater. 

(a) The first rectangle has width  and height ; its perimeter is 

.

(b) The second rectangle has width  and height ; its perimeter is 

.

For the first rectangle to have a greater perimeter, it is necessary for 

, or equivalently,

.

We do not know the relative values of  and  , however, so we cannot compare their perimeters.

The length of the rectangle is 2 feet, or 24 inches, greater than the width, so, if  is the width in inches,  is the length in inches.

The perimeter of the rectangle is 11 feet, or  inches. The perimeter, in terms of length and width, is , so we can set up the equation:

The width is 21 inches, and the length is 45 inches. The area is their product:

 square inches.

Opposite sides of a rectangle are of equal length, so the two missing sidelengths are 5 (right) and  (bottom). The perimeter of the rectangle is the sum of the lengths of its sides:

A square has four sides of the same length.

The sum of the lengths of three sides of a square is one meter, which is equal to 1,000 millimeters, so each side has length 

 millimeters, 

and the perimeter is four times this, or 

 millimeters.

If the width of the rectangle is 70% of the length, then 

.

The area is the product of the length and width:

The perimeter is therefore

 inches.

The area of the rectangle can be factored as the difference of squares:

The area of a rectangle is the product of its two dimensions, one of which is ; the other dimension can be determined by dividing:

The perimeter is twice the sum of the two dimensions:

The opposite sides of a parallelogram - a rhombus included - are congruent, so 

.

Also, Quadrilateral  form a rectangle; since  and , it follows that , and, similarly, . Therefore, , and

The surface area of a rectangular prism can be determined using the formula:

Using substitutions, the surface areas of the prisms can be found as follows:

The prism in (A):

Regardless of the value of ,  - that is, the first prism has the greater surface area. (A) is greater.