To solve this problem, first note that an isosceles trapezoid has two parallel bases that are nonequivalent in length. Additionally, an isosceles trapezoid must have two nonparallel sides that have equivalent lengths. 

Therefore, use the given information to apply the formula: 

Perimeter= Base one  Base two  (leg), where the length of "leg" is one of the two equivalent nonparallel sides.

Thus, the solution is:







 

In order for two trapezoids to be similar their corresponding sides must have the same ratio. Since the largest base length in the image is  and the corresponding side is , the other base must also be  times greater than the corresponding side shown in the image. 

The smaller base shown in the image has a length of , thus the corresponding side in the similar trapezoid must equal: . 

In order for two trapezoids to be similar their corresponding sides must have the same ratio. Since the perimeter in the image is  and the corresponding perimeter is , the corresponding sides must also be  times greater than the corresponding sides shown in the image. 

The nonparallel equivalent sides shown in the image have a length of , thus the corresponding side in the similar trapezoid must equal: . 

In order to find the length of side , first note that the vertical side that has a length of  and the base side with length  must be perpendicular because they form a right angle. This means that the height of the trapezoid must equal . A right triangle can be formed on the interior of the trapezoid that has a height of  and a base lenght of  The base length can be derived by finding the difference between the two nonequivalent parallel bases. 

Thus, the solution can be found by applying the formula: , where 

To solve this problem, first note that an isosceles trapezoid has two parallel bases that are nonequivalent in length. Additionally, an isosceles trapezoid must have two nonparallel sides that have equivalent lengths. Since this problem provides the length for both of the bases as well as the total perimeter, the missing sides can be found using the following formula: Perimeter= Base one  Base two  (leg), where the length of "leg" is one of the two equivalent nonparallel sides. 

Note: once you find the answer in inches, convert that quantity to an equivalent amount in feet. 

Thus, the solution is:









 inch is equal to  foot. Therefore,  inches is equvalent to  foot.

Quadrilateral  has at least one pair of parallel sides,  and . The figure is, by definition, a parallelogram if and only if , and, by definition, a trapezoid if and only if . Since , the figure is a trapezoid with bases  and  and legs  and . Since , the trapezoid is by definition an isosceles trapezoid.

The fact that the trapezoid is isosceles is actually irrelevant. Since  and  are the midpoints of legs  and , it holds by definition that 

and 

It follows that 

However, the bases of each trapezoid are noncongruent, by definition, so, in particular, 

Assume that  is the longer base - this argument works symmetrically if the opposite is true. Let  - equivalently, .

Since the bases are of unequal length, . The length of the midsegment  is the arithmetic mean of the lengths of these two bases, so

Since , it follows that

,

and

.

This disproves similarity, since one condition is that corresponding sides must be in proportion.

In a trapezoid, the angles on the same leg (called adjacent angles) are supplementary, meaning they add up to  degrees.

 and the angle measuring  degrees are adjacent angles that are supplementary.

In a trapezoid, all the interior angles add up to  degrees.

 is  degrees.

All the interior angles in a trapezoid add up to .

 is  degrees.