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Intermediate Geometry : Quadrilaterals

Study concepts, example questions & explanations for Intermediate Geometry

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Example Questions

Example Question #1 : How To Find The Length Of The Side Of A Rhombus

If a rhombus has a base that is $\frac{4}{3}$ times greater than the height and the height of the rhombus is equal to , find the length of one side of the rhombus.

Possible Answers:

$\frac{9}{4}$

Correct answer:

Explanation:

To find the length of a side of the rhombus, multiply times $\frac{4}{3}$ .

Thus, the solution is:

$\frac{9}{1}\times\frac{4}{3}=\frac{36}{3}=12$

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Example Question #2 : How To Find The Length Of The Side Of A Rhombus

Given that a rhombus has a perimeter of 124 , find the length of one side of the rhombus.

Possible Answers:

Correct answer:

Explanation:

The perimeter of a rhombus is equal to p=4S , where the length of one side of the rhombus.

Since P=124 , we can set up the following equation and solve for .

$124=4\times (S)$

$S=\frac{124}{4}=31$

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Example Question #2 : How To Find The Length Of The Side Of A Rhombus

A rhombus has an area of 360 square units and a height of . Find the length of one side of the rhombus.

Possible Answers:

Correct answer:

Explanation:

To find the length of a side of the rhombus, work backwards using the formula:

$A=(base\times height)$

Since we are given the area and the height we plug these values in and solve for the base.

$360=(base\times 8)$

$base=\frac{360}{8}=45$

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Example Question #3 : How To Find The Length Of The Side Of A Rhombus

A rhombus has an area of square units, and a height of . Find the length of one side of the rhombus.

Possible Answers:

6.5

11.5

9.5

Correct answer:

11.5

Explanation:

To find the length of a side of the rhombus, work backwards using the area formula:

$Area=(base\times height)$

Since we are given the area and the height we plug these values in and solve for the base.

$69=(base\times 6)$

$base=\frac{69}{6}=11.5$

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Example Question #1 : How To Find The Length Of The Side Of A Rhombus

A rhombus has a perimeter of 720 . Find the length of one side of the rhombus.

Possible Answers:

180

360

Correct answer:

180

Explanation:

To solve for the length of one side of the rhombus, apply the perimeter formula:

P=4(S) ,

the length of one side of the rhombus.

Since we are given the area we plug this value in and solve for .

720=4(S)

$S=\frac{720}{4}=180$

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Example Question #1 : How To Find The Length Of The Side Of A Rhombus

A rhombus has an area of square units, and an altitude of . Find the length of one side of the rhombus.

Possible Answers:

1.3

Correct answer:

Explanation:

Since the area is equal to square units, use the formula:

$A=(base\times altitude)$

Since we are given the area and the height, we plug these values in and solve for the base.

$39=(base\times 3)$

$base=\frac{39}{3}=13$

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Example Question #1 : How To Find The Length Of The Side Of A Rhombus

The perimeter of a rhombus is equal to 520 . Find the length of one side of the rhombus.

Possible Answers:

113

130

222

260

Correct answer:

130

Explanation:

Since P=520

The solution is:

P=4(S) , where the length of one side of the rhombus.

Thus,

520=4(S)

$S=\frac{520}{4}=130$

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Example Question #4 : How To Find The Length Of The Side Of A Rhombus

A rhombus has an area of 645 square units, and an altitude of . What is the length of one side of the rhombus?

Possible Answers:

7.5

Correct answer:

Explanation:

To find the length of a side of the rhombus, work backwards using the area formula:

$Area=(base\times height)$

Since we are given the area and the height, we plug these values into the equation and solve for the base.

$645=(base\times 15)$

$base=\frac{645}{15}=43$

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Example Question #5 : How To Find The Length Of The Side Of A Rhombus

Given that a rhombus has an area of square units and a height of , find the length of one side of the rhombus.

Possible Answers:

Correct answer:

Explanation:

$85=(base\times height)$

$85=(base\times 5)$

$base=\frac{85}{5}=17$

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Example Question #6 : How To Find The Length Of The Side Of A Rhombus

If a rhombus has a perimeter of , what is the length of one side of the rhombus?

Possible Answers:

3.5

4.5

Correct answer:

3.5

Explanation:

To find the length of a side of the rhombus, apply the formula: p=4(S) , where is equal to the length of a side of the rhombus.

Since we are given the perimeter we plug that value into the equation and solve for .

Therefore the solution is:

14=4(S)

$S=\frac{14}{4}=3.5$

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Intermediate Geometry : Quadrilaterals

Study concepts, example questions & explanations for Intermediate Geometry

All Intermediate Geometry Resources

Example Questions

Example Question #1 : How To Find The Length Of The Side Of A Rhombus

Example Question #2 : How To Find The Length Of The Side Of A Rhombus

Example Question #2 : How To Find The Length Of The Side Of A Rhombus

Example Question #3 : How To Find The Length Of The Side Of A Rhombus

Example Question #1 : How To Find The Length Of The Side Of A Rhombus

Example Question #1 : How To Find The Length Of The Side Of A Rhombus

Example Question #1 : How To Find The Length Of The Side Of A Rhombus

Example Question #4 : How To Find The Length Of The Side Of A Rhombus

Example Question #5 : How To Find The Length Of The Side Of A Rhombus

Example Question #6 : How To Find The Length Of The Side Of A Rhombus

All Intermediate Geometry Resources

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