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 #71 : Parallelograms

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

1

Possible Answers:

Cannot be determined

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 the values of lengths of shapes can only be positive, we know that the base of the parallelogram must be .

Example Question #71 : Parallelograms

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

2

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 the values of lengths of shapes can only be positive, we know that the base of the parallelogram must be .

Example Question #411 : Intermediate Geometry

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

3

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 the values of lengths of shapes can only be positive, we know that the base of the parallelogram must be .

Example Question #73 : Parallelograms

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

4

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 the values of lengths of shapes can only be positive, we know that the base of the parallelogram must be .

Example Question #74 : Parallelograms

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

5

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 the values of lengths of shapes can only be positive, we know that the base of the parallelogram must be .

Example Question #241 : Quadrilaterals

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

6

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 the values of lengths of shapes can only be positive, we know that the base of the parallelogram must be .

Example Question #80 : Parallelograms

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

7

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 #81 : Parallelograms

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

8

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 #82 : Parallelograms

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

8

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 #83 : 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.

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