Intermediate Geometry : How to find the area of a parallelogram

Study concepts, example questions & explanations for Intermediate Geometry

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Example Questions

Example Question #84 : Parallelograms

In the figure, the area of the parallelogram is . Find the length of the base.

9

Possible Answers:

Correct answer:

Explanation:

13

Recall how to find the area of a parallelogram:

Now, substitute in the area, base, and height values that are given by the question.

Expand this equation.

Now factor this equation.

Solve for .

Since lengths of bases and heights can only be positive, .

Notice that the length of the base is given by the expression . Substitute in the value of  to find the length of the base.

Example Question #85 : Parallelograms

In the figure, the area of the parallelogram is . Find the length of the base.

11

Possible Answers:

Correct answer:

Explanation:

13

Recall how to find the area of a parallelogram:

Now, substitute in the area, base, and height values that are given by the question.

Expand this equation.

Now factor this equation.

Solve for .

Since lengths of bases and heights can only be positive, .

Notice that the length of the base is given by the expression . Substitute in the value of  to find the length of the base.

Example Question #86 : Parallelograms

In the figure, the area of the parallelogram is . Find the length of the base.

10

Possible Answers:

Correct answer:

Explanation:

13

Recall how to find the area of a parallelogram:

Now, substitute in the area, base, and height values that are given by the question.

Expand this equation.

Now factor this equation.

Solve for .

Since lengths of bases and heights can only be positive, .

Notice that the length of the base is given by the expression . Substitute in the value of  to find the length of the base.

Example Question #87 : Parallelograms

Find the area of the parallelogram.

12

Possible Answers:

Correct answer:

Explanation:

13

Recall how to find the area of a parallelogram:

From the given parallelogram, we will need to use the Pythagorean Theorem to find the length of the height of the parallelogram.

Plug in the given values to find the length of the height.

Now, use the height to find the area of the parallelogram.

Remember to round to  places after the decimal.

Example Question #88 : Parallelograms

Find the area of the parallelogram.

1

Possible Answers:

Correct answer:

Explanation:

13

Recall how to find the area of a parallelogram:

From the given parallelogram, we will need to use the Pythagorean Theorem to find the length of the height of the parallelogram.

Plug in the given values to find the length of the height.

Now, use the height to find the area of the parallelogram.

Remember to round to  places after the decimal.

Example Question #89 : Parallelograms

Find the area of the parallelogram.

2

Possible Answers:

Correct answer:

Explanation:

13

Recall how to find the area of a parallelogram:

From the given parallelogram, we will need to use the Pythagorean Theorem to find the length of the height of the parallelogram.

Plug in the given values to find the length of the height.

Now, use the height to find the area of the parallelogram.

Remember to round to  places after the decimal.

Example Question #90 : Parallelograms

Find the area of the parallelogram.

3

Possible Answers:

Correct answer:

Explanation:

13

Recall how to find the area of a parallelogram:

From the given parallelogram, we will need to use the Pythagorean Theorem to find the length of the height of the parallelogram.

Plug in the given values to find the length of the height.

Now, use the height to find the area of the parallelogram.

Remember to round to  places after the decimal.

Example Question #261 : Quadrilaterals

Find the area of the parallelogram.

4

Possible Answers:

Correct answer:

Explanation:

13

Recall how to find the area of a parallelogram:

From the given parallelogram, we will need to use the Pythagorean Theorem to find the length of the height of the parallelogram.

Plug in the given values to find the length of the height.

Now, use the height to find the area of the parallelogram.

Remember to round to  places after the decimal.

Example Question #262 : Quadrilaterals

Find the area of a parallelogram.

5

Possible Answers:

Correct answer:

Explanation:

13

Recall how to find the area of a parallelogram:

From the given parallelogram, we will need to use the Pythagorean Theorem to find the length of the height of the parallelogram.

Plug in the given values to find the length of the height.

Now, use the height to find the area of the parallelogram.

Remember to round to  places after the decimal.

Example Question #263 : Quadrilaterals

Find the area of the parallelogram.

7

Possible Answers:

Correct answer:

Explanation:

13

Recall how to find the area of a parallelogram:

From the given parallelogram, we will need to use the Pythagorean Theorem to find the length of the height of the parallelogram.

Plug in the given values to find the length of the height.

Now, use the height to find the area of the parallelogram.

Remember to round to  places after the decimal.

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