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Basic Geometry : Quadrilaterals

Study concepts, example questions & explanations for Basic Geometry

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Example Questions

Example Question #31 : Quadrilaterals

Find the perimeter of a rectangle that has a length of and a width of .

Possible Answers:

144

182

Correct answer:

144

Explanation:

Recall how to find the perimeter of a rectangle:

$\text{Perimeter}= 2(\text{length}+\text{width})$

For the given rectangle,

$\text{Perimeter}=2 (53+19)=2(72)=144$

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Example Question #32 : Quadrilaterals

Find the perimeter of a rectangle that has a width of and a length of .

Possible Answers:

Correct answer:

Explanation:

Recall how to find the perimeter of a rectangle:

$\text{Perimeter}= (2 \times \text{width})+(2\times\text{length})$

For the given rectangle,

$\text{Perimeter}=(2\times 10)+(2\times 12)= 20 + 24 = 44$

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Example Question #33 : Quadrilaterals

Find the perimeter of a rectangle that has a length of and a width of .

Possible Answers:

Correct answer:

Explanation:

Recall how to find the perimeter of a rectangle:

$\text{Perimeter}= 2(\text{length}+\text{width})$

For the given rectangle,

$\text{Perimeter}=2 (14+16)=2(30)=60$

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Example Question #442 : Plane Geometry

If the area of a rectangle is , and the length of the rectangle is , what is the perimeter of the rectangle?

Possible Answers:

Correct answer:

Explanation:

Recall how to find the area of a rectangle:

$\text{Area}=\text{length}\times\text{width}$

Now, we can use this equation to find the width of the rectangle.

$\text{width}=\frac{\text{Area}}{\text{length}}$

Plug in the information from the question to find the width of the rectangle.

$\text{Width}=\frac{35}{5}=7$

Now, recall how to find the perimeter of a rectangle.

$\text{Perimeter}=2(\text{length}+\text{width})$

Plug in the length and width values to find the perimeter.

$\text{Perimeter}=2(5+7)=24$

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Example Question #22 : How To Find The Perimeter Of A Rectangle

If the area of a rectangle is 106 , and the length of the rectangle is , what is the perimeter of the rectangle?

Possible Answers:

120

110

100

130

Correct answer:

110

Explanation:

Recall how to find the area of a rectangle:

$\text{Area}=\text{length}\times\text{width}$

Now, we can use this equation to find the width of the rectangle.

$\text{width}=\frac{\text{Area}}{\text{length}}$

Plug in the information from the question to find the width of the rectangle.

$\text{Width}=\frac{106}{2}=53$

Now, recall how to find the perimeter of a rectangle.

$\text{Perimeter}=2(\text{length}+\text{width})$

Plug in the length and width values to find the perimeter.

$\text{Perimeter}=2(2+53)=110$

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Example Question #34 : Quadrilaterals

If the area of a rectangle is , and the length of the rectangle is , what is the perimeter of the rectangle?

Possible Answers:

Correct answer:

Explanation:

Recall how to find the area of a rectangle:

$\text{Area}=\text{length}\times\text{width}$

Now, we can use this equation to find the width of the rectangle.

$\text{width}=\frac{\text{Area}}{\text{length}}$

Plug in the information from the question to find the width of the rectangle.

$\text{Width}=\frac{96}{16}=6$

Now, recall how to find the perimeter of a rectangle.

$\text{Perimeter}=2(\text{length}+\text{width})$

Plug in the length and width values to find the perimeter.

$\text{Perimeter}=2(16+6)=44$

Report an Error

Example Question #444 : Plane Geometry

If the area of a rectangle is , and the length of the rectangle is , what is the perimeter of the rectangle?

Possible Answers:

Correct answer:

Explanation:

Recall how to find the area of a rectangle:

$\text{Area}=\text{length}\times\text{width}$

Now, we can use this equation to find the width of the rectangle.

$\text{width}=\frac{\text{Area}}{\text{length}}$

Plug in the information from the question to find the width of the rectangle.

$\text{Width}=\frac{16}{4}=4$

Now, recall how to find the perimeter of a rectangle.

$\text{Perimeter}=2(\text{length}+\text{width})$

Plug in the length and width values to find the perimeter.

$\text{Perimeter}=2(4+4)=16$

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Example Question #445 : Plane Geometry

If the area of a rectangle is , and the length of the rectangle is , what is the perimeter of the rectangle?

Possible Answers:

Correct answer:

Explanation:

Recall how to find the area of a rectangle:

$\text{Area}=\text{length}\times\text{width}$

Now, we can use this equation to find the width of the rectangle.

$\text{width}=\frac{\text{Area}}{\text{length}}$

Plug in the information from the question to find the width of the rectangle.

$\text{Width}=\frac{36}{4}=9$

Now, recall how to find the perimeter of a rectangle.

$\text{Perimeter}=2(\text{length}+\text{width})$

Plug in the length and width values to find the perimeter.

$\text{Perimeter}=2(4+9)=26$

Report an Error

Example Question #446 : Plane Geometry

If the area of a rectangle is , and the length of the rectangle is , what is the perimeter of the rectangle?

Possible Answers:

Correct answer:

Explanation:

Recall how to find the area of a rectangle:

$\text{Area}=\text{length}\times\text{width}$

Now, we can use this equation to find the width of the rectangle.

$\text{width}=\frac{\text{Area}}{\text{length}}$

Plug in the information from the question to find the width of the rectangle.

$\text{Width}=\frac{20}{4}=5$

Now, recall how to find the perimeter of a rectangle.

$\text{Perimeter}=2(\text{length}+\text{width})$

Plug in the length and width values to find the perimeter.

$\text{Perimeter}=2(4+5)=18$

Report an Error

Example Question #447 : Plane Geometry

If the area of a rectangle is 215 , and the length of the rectangle is , what is the perimeter of the rectangle?

Possible Answers:

106

102

Correct answer:

Explanation:

Recall how to find the area of a rectangle:

$\text{Area}=\text{length}\times\text{width}$

Now, we can use this equation to find the width of the rectangle.

$\text{width}=\frac{\text{Area}}{\text{length}}$

Plug in the information from the question to find the width of the rectangle.

$\text{Width}=\frac{215}{5}=43$

Now, recall how to find the perimeter of a rectangle.

$\text{Perimeter}=2(\text{length}+\text{width})$

Plug in the length and width values to find the perimeter.

$\text{Perimeter}=2(5+43)=96$

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Basic Geometry : Quadrilaterals

Study concepts, example questions & explanations for Basic Geometry

All Basic Geometry Resources

Example Questions

Example Question #31 : Quadrilaterals

Example Question #32 : Quadrilaterals

Example Question #33 : Quadrilaterals

Example Question #442 : Plane Geometry

Example Question #22 : How To Find The Perimeter Of A Rectangle

Example Question #34 : Quadrilaterals

Example Question #444 : Plane Geometry

Example Question #445 : Plane Geometry

Example Question #446 : Plane Geometry

Example Question #447 : Plane Geometry

All Basic Geometry Resources

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