All ISEE Middle Level Math Resources
Example Questions
Example Question #11 : Trapezoids
Find the perimeter of the trapezoid:
The perimeter of any shape is equal to the sum of the lengths of its sides:
Example Question #171 : Quadrilaterals
You recently bought a new bookshelf with a base in the shape of an isosceles trapezoid. If the small base is 2 feet, the large base is 3 feet, and the arms are 1.5 feet, what is the perimeter of the base of your new bookshelf?
Cannot be determined from the information provided.
You recently bought a new bookshelf with a base in the shape of an isosceles trapezoid. If the small base is 2 feet, the large base is 3 feet, and the arms are 1.5 feet, what is the perimeter of the base of your new bookshelf?
To find the perimeter of a bookshelf, we need to add up the lengths of the sides.
We know the two bases, we just need to add the lengths of the arms.
So, our answer is 8ft
Example Question #1 : How To Find The Perimeter Of A Parallelogram
36 in
26 in
13 in
18 in
26 in
To find the perimeter of a parallelogram, add the lengths of the sides. Opposite sides of a parallelogram are equivalent.
Example Question #2 : How To Find The Perimeter Of A Parallelogram
If the perimter of a parallelogram is and one of the sides is , what is the other side length?
The answer cannot be found
The perimeter of a parallelogram is found by adding up all four sides.
Since there are two pairs of side with equal lengths, two sides must have a length of .
So the perimeter would be
or .
To find the value of the other side length, you would divide the remaining perimeter not include in the other sides by .
So .
That means the other side length would be .
Example Question #3 : How To Find The Perimeter Of A Parallelogram
If a parallelogram has side lengths of and , what is the perimeter?
The perimeter of a parallelogram is two times the two side lengths and add them together.
Therefore, this particular problem becomes as follows.
and
so
.
Example Question #1 : Parallelograms
Note: Figure NOT drawn to scale.
, where and represent side lengths of the parallelogram and represents the height.
Find the perimeter of the parallelogram in the diagram.
The perimeter of the parallelogram is the sum of the four side lengths - here, that formula becomes
.
Note that the height is irrelevant to the answer.
Example Question #6 : Geometry
Find the area of the following parallelogram:
Note: The formula for the area of a parallelogram is .
The base of the parallelogram is 10, while the height is 5.
Example Question #2 : Parallelograms
Find the area:
The area of a parallelogram can be determined using the following equation:
Therefore,
Example Question #1 : How To Find The Area Of A Parallelogram
You can solve the area of a parallelogram when you know the lengths of each of the sides. True or False?
The area of a parallelogram is found by computing . In this situation, you would have the base which is the bottom side but you would not have the height measurement. Since you would not be able to solve for the area with just the side lengths, the statement is .
Example Question #1 : How To Find The Area Of A Parallelogram
If a parallelogram has side lengths of and , what is the area?
Cannot be determined.
Cannot be determined.
To find the area of a parallelogram, you use the formula,
.
Since the height in this problem is not known, you cannot solve for area.