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Basic Geometry : Plane Geometry

Study concepts, example questions & explanations for Basic Geometry

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9 Diagnostic Tests 164 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #451 : Plane Geometry

If the area of a rectangle is 180 , 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.

$\text{Width}=\frac{180}{10}=18$

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.

$\text{Perimeter}=2(10+18)=56$

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Example Question #41 : Quadrilaterals

If the area of a rectangle is 200 , and the length of the rectangle is , what is the perimeter of the rectangle?

Possible Answers:

108

116

104

112

Correct answer:

108

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.

$\text{Width}=\frac{200}{50}=4$

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.

$\text{Perimeter}=2(50+4)=108$

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Example Question #42 : Quadrilaterals

If the area of a rectangle is 256 , 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.

$\text{Width}=\frac{256}{32}=8$

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.

$\text{Perimeter}=2(32+8)=80$

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Example Question #451 : Basic Geometry

If the area of this rectangle is 160 , what is the perimeter?

Possible Answers:

Correct answer:

Explanation:

In order to find the perimeter of a rectangle, you will need to know both length and width. The question, however, only provides us with the width.

Recall how to find the area of the rectangle:

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

Now, using the area and the given width, we can then find the length.

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

Plug in the given values.

$\text{length}=\frac{160}{16}=10$

Now that we have both length and width, find the perimeter of the rectangle.

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

$\text{Perimeter}=2(16+10)=2(26)=52$

Report an Error

Example Question #452 : Basic Geometry

If the area of the rectangle is 180 , what is the perimeter?

Possible Answers:

Correct answer:

Explanation:

In order to find the perimeter of a rectangle, you will need to know both length and width. The question, however, only provides us with the width.

Recall how to find the area of the rectangle:

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

Now, using the area and the given width, we can then find the length.

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

Plug in the given values.

$\text{length}=\frac{180}{18}=10$

Now that we have both length and width, find the perimeter of the rectangle.

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

$\text{Perimeter}=2(18+10)=2(28)=56$

Report an Error

Example Question #453 : Basic Geometry

If the area of the rectangle is 600 , what is the perimeter?

Possible Answers:

318

212

224

106

Correct answer:

212

Explanation:

In order to find the perimeter of a rectangle, you will need to know both length and width. The question, however, only provides us with the width.

Recall how to find the area of the rectangle:

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

Now, using the area and the given width, we can then find the length.

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

Plug in the given values.

$\text{length}=\frac{600}{100}=6$

Now that we have both length and width, find the perimeter of the rectangle.

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

$\text{Perimeter}=2(6+100)=2(106)=212$

Report an Error

Example Question #454 : Basic Geometry

If the area of the rectangle is , what is the perimeter?

Possible Answers:

Correct answer:

Explanation:

In order to find the perimeter of a rectangle, you will need to know both length and width. The question, however, only provides us with the width.

Recall how to find the area of the rectangle:

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

Now, using the area and the given width, we can then find the length.

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

Plug in the given values.

$\text{length}=\frac{74}{27}=2$

Now that we have both length and width, find the perimeter of the rectangle.

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

$\text{Perimeter}=2(37+2)=2(39)=78$

Report an Error

Example Question #455 : Basic Geometry

If the area of the rectangle is , what is the perimeter?

Possible Answers:

Correct answer:

Explanation:

In order to find the perimeter of a rectangle, you will need to know both length and width. The question, however, only provides us with the width.

Recall how to find the area of the rectangle:

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

Now, using the area and the given width, we can then find the length.

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

Plug in the given values.

$\text{length}=\frac{64}{16}=4$

Now that we have both length and width, find the perimeter of the rectangle.

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

$\text{Perimeter}=2(16+4)=2(20)=40$

Report an Error

Example Question #459 : Plane Geometry

If the area of the rectangle is , what is the perimeter?

Possible Answers:

Correct answer:

Explanation:

In order to find the perimeter of a rectangle, you will need to know both length and width. The question, however, only provides us with the width.

Recall how to find the area of the rectangle:

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

Now, using the area and the given width, we can then find the length.

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

Plug in the given values.

$\text{length}=\frac{72}{12}=6$

Now that we have both length and width, find the perimeter of the rectangle.

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

$\text{Perimeter}=2(12+6)=2(18)=36$

Report an Error

Example Question #460 : Plane Geometry

If the area of the rectangle is , what is the perimeter?

Possible Answers:

Correct answer:

Explanation:

In order to find the perimeter of a rectangle, you will need to know both length and width. The question, however, only provides us with the width.

Recall how to find the area of the rectangle:

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

Now, using the area and the given width, we can then find the length.

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

Plug in the given values.

$\text{length}=\frac{60}{12}=5$

Now that we have both length and width, find the perimeter of the rectangle.

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

$\text{Perimeter}=2(12+5)=2(17)=34$

Report an Error

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Basic Geometry : Plane Geometry

Study concepts, example questions & explanations for Basic Geometry

All Basic Geometry Resources

Example Questions

Example Question #451 : Plane Geometry

Example Question #41 : Quadrilaterals

Example Question #42 : Quadrilaterals

Example Question #451 : Basic Geometry

Example Question #452 : Basic Geometry

Example Question #453 : Basic Geometry

Example Question #454 : Basic Geometry

Example Question #455 : Basic Geometry

Example Question #459 : Plane Geometry

Example Question #460 : Plane Geometry

All Basic Geometry Resources

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