All GRE Math Resources
Example Questions
Example Question #1 : Quadrilaterals
A parallelogram has a base of and a height of . Find the area of the parallelogram.
By definition a parallelogram has two sets of opposite sides that are congruent/parallel. However to find the area of a paralleogram, you need to know the base and height lengths. Since this problem provides both the base and height measurements, apply the formula:
The solution is:
Example Question #122 : Geometry
A parallelogram has a base of and a height measurement that is the base length. Find the area of the parallelogram.
By definition a parallelogram has two sets of opposite sides that are congruent/parallel. However, to find the area of a paralleogram, you need to know the base and height lengths. Since this problem provides both the base and height measurements, apply the formula:
Before applying the formula you must find of .
The final solution is:
Example Question #123 : Geometry
A parallelogram has a base of and a height of . Find the area of the parallelogram.
By definition a parallelogram has two sets of opposite sides that are congruent/parallel. However, to find the area of a paralleogram, you need to know the base and height lengths. Since this problem provides both the base and height measurements, apply the formula:
The solution is:
Example Question #124 : Geometry
A parallelogram has a base of and a height measurement that is the base length. Find the area of the parallelogram.
A parallelogram must have two sets of opposite sides that are congruent/parallel. However, to find the area of a paralleogram, you need to know the base and height lengths. Since this problem provides both the base and height measurements, apply the formula:
Before applying the formula you must find of .
The solution is:
Example Question #125 : Geometry
Using the parallelogram shown above, find the area.
By definition a parallelogram has two sets of opposite sides that are congruent/parallel. However to find the area of a paralleogram, you need to know the base and height lengths. Since this problem provides both the base and height measurements, apply the formula:
The solution is:
Example Question #2 : Quadrilaterals
A parallelogram has a base of meters and a height measurement that is the base length. Find the area of the parallelogram.
By definition a parallelogram has two sets of opposite sides that are congruent/parallel. However, to find the area of a paralleogram, you need to know the base and height lengths. Since this problem provides both the base and height measurements, apply the formula:
Before applying the formula you must find of .
The solution is:
Example Question #3 : Quadrilaterals
A parallelogram has a base of and a height of . Find the area of the parallelogram.
A parallelogram must have two sets of opposite sides that are congruent/parallel. However, to find the area of a paralleogram, you need to know the base and height lengths. Since this problem provides both the base and height measurements, apply the formula:
The solution is:
Note: prior to applying the formula, the answer choices require you to be able to convert to , as well as to . Or, you could have converted the mixed numbers to improper fractions and then multiplied the two terms:
Example Question #1 : How To Find The Area Of A Parallelogram
Find the area of the parallelogram shown above, excluding the interior space occupied by the blue rectangle.
A parallelogram must have two sets of opposite sides that are congruent/parallel. However, to find the area of a paralleogram, you need to know the base and height lengths. Since this problem provides both the base and height measurements, apply the formula:
Additionally, this problem requires you to find the area of the interior rectangle. This can be simply found by applying the formula:
Thus, the solution is:
Example Question #131 : Plane Geometry
A parallelogram has a base of and a height measurement that is the base length. Find the area of the parallelogram.
Not enough information is provided.
By definition a parallelogram has two sets of opposite sides that are congruent/parallel. However, to find the area of a paralleogram, you need to know the base and height lengths. Since this problem provides both the base and height measurements, apply the formula:
Before applying the formula you must find of .
The solution is:
Note: when working with multiples of ten remove zeros and then tack back onto the product.
There were two total zeros in the factors, so tack on two zeros to the product:
Example Question #2 : Quadrilaterals
Find the area for the parallelogram shown above.
A parallelogram must have two sets of opposite sides that are congruent/parallel. However, to find the area of a paralleogram, you need to know the base and height lengths. Since this problem provides both the base and height measurements, apply the formula:
The solution is: