Advanced Geometry : How to find the area of a rhombus

Study concepts, example questions & explanations for Advanced Geometry

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Example Questions

Example Question #401 : Advanced Geometry

Find the area of the rhombus below.

2

Possible Answers:

Correct answer:

Explanation:

13

Recall that the diagonals of the rhombus are perpendicular bisectors. From the given side and the given diagonal, we can find the length of the second diagonal by using the Pythagorean Theorem.

Let the given diagonal be diagonal 1, and rearrange the equation to solve for diagonal 2.

Plug in the given side and diagonal to find the length of diagonal 2.

Now, recall how to find the area of a rhombus:

Plug in the two diagonals to find the area.

Make sure to round to  places after the decimal.

 

Example Question #402 : Advanced Geometry

Find the area of the rhombus below.

6

Possible Answers:

Correct answer:

Explanation:

13

Recall that the diagonals of the rhombus are perpendicular bisectors. From the given side and the given diagonal, we can find the length of the second diagonal by using the Pythagorean Theorem.

Let the given diagonal be diagonal 1, and rearrange the equation to solve for diagonal 2.

Plug in the given side and diagonal to find the length of diagonal 2.

Now, recall how to find the area of a rhombus:

Plug in the two diagonals to find the area.

Make sure to round to  places after the decimal.

 

Example Question #21 : Rhombuses

Find the area of the rhombus below.

5

Possible Answers:

Correct answer:

Explanation:

13

Recall that the diagonals of the rhombus are perpendicular bisectors. From the given side and the given diagonal, we can find the length of the second diagonal by using the Pythagorean Theorem.

Let the given diagonal be diagonal 1, and rearrange the equation to solve for diagonal 2.

Plug in the given side and diagonal to find the length of diagonal 2.

Now, recall how to find the area of a rhombus:

Plug in the two diagonals to find the area.

Make sure to round to  places after the decimal.

 

Example Question #21 : Rhombuses

Find the area of the rhombus below.

4

Possible Answers:

Correct answer:

Explanation:

13

Recall that the diagonals of the rhombus are perpendicular bisectors. From the given side and the given diagonal, we can find the length of the second diagonal by using the Pythagorean Theorem.

Let the given diagonal be diagonal 1, and rearrange the equation to solve for diagonal 2.

Plug in the given side and diagonal to find the length of diagonal 2.

Now, recall how to find the area of a rhombus:

Plug in the two diagonals to find the area.

Make sure to round to  places after the decimal.

 

Example Question #21 : How To Find The Area Of A Rhombus

Find the area of the rhombus below.

3

Possible Answers:

Correct answer:

Explanation:

13

Recall that the diagonals of the rhombus are perpendicular bisectors. From the given side and the given diagonal, we can find the length of the second diagonal by using the Pythagorean Theorem.

Let the given diagonal be diagonal 1, and rearrange the equation to solve for diagonal 2.

Plug in the given side and diagonal to find the length of diagonal 2.

Now, recall how to find the area of a rhombus:

Plug in the two diagonals to find the area.

Make sure to round to  places after the decimal.

 

Example Question #22 : Rhombuses

Find the area of the rhombus below.

7

Possible Answers:

Correct answer:

Explanation:

13

Recall that the diagonals of the rhombus are perpendicular bisectors. From the given side and the given diagonal, we can find the length of the second diagonal by using the Pythagorean Theorem.

Let the given diagonal be diagonal 1, and rearrange the equation to solve for diagonal 2.

Plug in the given side and diagonal to find the length of diagonal 2.

Now, recall how to find the area of a rhombus:

Plug in the two diagonals to find the area.

Make sure to round to  places after the decimal.

 

Example Question #23 : Rhombuses

Find the area of the rhombus below.

8

Possible Answers:

Correct answer:

Explanation:

13

Recall that the diagonals of the rhombus are perpendicular bisectors. From the given side and the given diagonal, we can find the length of the second diagonal by using the Pythagorean Theorem.

Let the given diagonal be diagonal 1, and rearrange the equation to solve for diagonal 2.

Plug in the given side and diagonal to find the length of diagonal 2.

Now, recall how to find the area of a rhombus:

Plug in the two diagonals to find the area.

Make sure to round to  places after the decimal.

 

Example Question #24 : Rhombuses

Find the area of the rhombus below.

9

Possible Answers:

Correct answer:

Explanation:

13

Recall that the diagonals of the rhombus are perpendicular bisectors. From the given side and the given diagonal, we can find the length of the second diagonal by using the Pythagorean Theorem.

Let the given diagonal be diagonal 1, and rearrange the equation to solve for diagonal 2.

Plug in the given side and diagonal to find the length of diagonal 2.

Now, recall how to find the area of a rhombus:

Plug in the two diagonals to find the area.

Make sure to round to  places after the decimal.

 

Example Question #21 : Rhombuses

Find the area of the rhombus below.

11

Possible Answers:

Correct answer:

Explanation:

13

Recall that the diagonals of the rhombus are perpendicular bisectors. From the given side and the given diagonal, we can find the length of the second diagonal by using the Pythagorean Theorem.

Let the given diagonal be diagonal 1, and rearrange the equation to solve for diagonal 2.

Plug in the given side and diagonal to find the length of diagonal 2.

Now, recall how to find the area of a rhombus:

Plug in the two diagonals to find the area.

Make sure to round to  places after the decimal.

 

Example Question #21 : Rhombuses

Find the area of the rhombus below.

12

Possible Answers:

Correct answer:

Explanation:

13

Recall that the diagonals of the rhombus are perpendicular bisectors. From the given side and the given diagonal, we can find the length of the second diagonal by using the Pythagorean Theorem.

Let the given diagonal be diagonal 1, and rearrange the equation to solve for diagonal 2.

Plug in the given side and diagonal to find the length of diagonal 2.

Now, recall how to find the area of a rhombus:

Plug in the two diagonals to find the area.

Make sure to round to  places after the decimal.

 

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