# GRE Math : How to find the area of a parallelogram

## Example Questions

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### Example Question #1 : Quadrilaterals

A parallelogram has a base of  and a height of . Find the area of the parallelogram.

Explanation:

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  and a height measurement that is  the base length. Find the area of the parallelogram.

Explanation:

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 #3 : Quadrilaterals

A parallelogram has a base of  and a height of . Find the area of the parallelogram.

Explanation:

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 #4 : Quadrilaterals

A parallelogram has a base of  and a height measurement that is  the base length. Find the area of the parallelogram.

Explanation:

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 #5 : Quadrilaterals

Using the parallelogram shown above, find the area.

Explanation:

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 #6 : Quadrilaterals

A parallelogram has a base of  meters and a height measurement that is  the base length. Find the area of the parallelogram.

Explanation:

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 #7 : Quadrilaterals

A parallelogram has a base of  and a height of . Find the area of the parallelogram.

Explanation:

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 #8 : Quadrilaterals

Find the area of the parallelogram shown above, excluding the interior space occupied by the blue rectangle.

Explanation:

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 #9 : Quadrilaterals

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.

Explanation:

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 #10 : Quadrilaterals

Find the area for the parallelogram shown above.