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Basic Geometry : Plane Geometry

Study concepts, example questions & explanations for Basic Geometry

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All Basic Geometry Resources

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

Example Questions

Example Question #711 : Basic Geometry

If the perimeter of a square is , what is the area of the square?

Possible Answers:

169

249

225

144

Correct answer:

169

Explanation:

First, recall how to find the perimeter of a square.

$\text{Perimeter}=4\times\text{side length}$

From this equation, we can solve for the side length of a square.

$\text{Side length}=\frac{\text{Perimeter}}{4}$

For the given square,

$\text{Side length}=\frac{52}{4}=13$

Now, recall how to find the area of a square.

$\text{Area}=\text{side length}^2$

For the square in question, we can plug in the side length we found from the perimeter to find the area.

$\text{Area}=13^2=169$

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Example Question #52 : Squares

If the perimeter of a square is , what is the area of the square?

Possible Answers:

500

450

300

400

Correct answer:

400

Explanation:

First, recall how to find the perimeter of a square.

$\text{Perimeter}=4\times\text{side length}$

From this equation, we can solve for the side length of a square.

$\text{Side length}=\frac{\text{Perimeter}}{4}$

For the given square,

$\text{Side length}=\frac{80}{4}=20$

Now, recall how to find the area of a square.

$\text{Area}=\text{side length}^2$

For the square in question, we can plug in the side length we found from the perimeter to find the area.

$\text{Area}=20^2=400$

Report an Error

Example Question #53 : Squares

If the perimeter of a square is 240 , what is the area of the square?

Possible Answers:

3600

14400

6400

1200

Correct answer:

3600

Explanation:

First, recall how to find the perimeter of a square.

$\text{Perimeter}=4\times\text{side length}$

From this equation, we can solve for the side length of a square.

$\text{Side length}=\frac{\text{Perimeter}}{4}$

For the given square,

$\text{Side length}=\frac{240}{4}=60$

Now, recall how to find the area of a square.

$\text{Area}=\text{side length}^2$

For the square in question, we can plug in the side length we found from the perimeter to find the area.

$\text{Area}=60^2=3600$

Report an Error

Example Question #712 : Basic Geometry

If the perimeter of a square is , what is the area of the square?

Possible Answers:

239

441

264

361

Correct answer:

361

Explanation:

First, recall how to find the perimeter of a square.

$\text{Perimeter}=4\times\text{side length}$

From this equation, we can solve for the side length of a square.

$\text{Side length}=\frac{\text{Perimeter}}{4}$

For the given square,

$\text{Side length}=\frac{76}{4}=19$

Now, recall how to find the area of a square.

$\text{Area}=\text{side length}^2$

For the square in question, we can plug in the side length we found from the perimeter to find the area.

$\text{Area}=19^2=361$

Report an Error

Example Question #55 : Squares

If the perimeter of a square is 104 , what is the area of the square?

Possible Answers:

776

676

244

576

Correct answer:

676

Explanation:

First, recall how to find the perimeter of a square.

$\text{Perimeter}=4\times\text{side length}$

From this equation, we can solve for the side length of a square.

$\text{Side length}=\frac{\text{Perimeter}}{4}$

For the given square,

$\text{Side length}=\frac{104}{4}=26$

Now, recall how to find the area of a square.

$\text{Area}=\text{side length}^2$

For the square in question, we can plug in the side length we found from the perimeter to find the area.

$\text{Area}=26^2=676$

Report an Error

Example Question #711 : Plane Geometry

If the perimeter of a square is , what is the area of the square?

Possible Answers:

225

325

250

169

Correct answer:

225

Explanation:

First, recall how to find the perimeter of a square.

$\text{Perimeter}=4\times\text{side length}$

From this equation, we can solve for the side length of a square.

$\text{Side length}=\frac{\text{Perimeter}}{4}$

For the given square,

$\text{Side length}=\frac{60}{4}=15$

Now, recall how to find the area of a square.

$\text{Area}=\text{side length}^2$

For the square in question, we can plug in the side length we found from the perimeter to find the area.

$\text{Area}=15^2=225$

Report an Error

Example Question #713 : Basic Geometry

If the perimeter of a square is 124 , what is the area of the square?

Possible Answers:

861

961

761

1061

Correct answer:

961

Explanation:

First, recall how to find the perimeter of a square.

$\text{Perimeter}=4\times\text{side length}$

From this equation, we can solve for the side length of a square.

$\text{Side length}=\frac{\text{Perimeter}}{4}$

For the given square,

$\text{Side length}=\frac{124}{4}=31$

Now, recall how to find the area of a square.

$\text{Area}=\text{side length}^2$

For the square in question, we can plug in the side length we found from the perimeter to find the area.

$\text{Area}=31^2=961$

Report an Error

Example Question #61 : Squares

If the perimeter of a square is 108 , what is the area of the square?

Possible Answers:

632

829

291

729

Correct answer:

729

Explanation:

First, recall how to find the perimeter of a square.

$\text{Perimeter}=4\times\text{side length}$

From this equation, we can solve for the side length of a square.

$\text{Side length}=\frac{\text{Perimeter}}{4}$

For the given square,

$\text{Side length}=\frac{108}{4}=27$

Now, recall how to find the area of a square.

$\text{Area}=\text{side length}^2$

For the square in question, we can plug in the side length we found from the perimeter to find the area.

$\text{Area}=27^2=729$

Report an Error

Example Question #711 : Plane Geometry

If the perimeter of a square is , what is the area of the square?

Possible Answers:

256

169

289

321

Correct answer:

256

Explanation:

First, recall how to find the perimeter of a square.

$\text{Perimeter}=4\times\text{side length}$

From this equation, we can solve for the side length of a square.

$\text{Side length}=\frac{\text{Perimeter}}{4}$

For the given square,

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

Now, recall how to find the area of a square.

$\text{Area}=\text{side length}^2$

For the square in question, we can plug in the side length we found from the perimeter to find the area.

$\text{Area}=16^2=256$

Report an Error

Example Question #712 : Plane Geometry

If the perimeter of the square is 328 , what is the area of the square?

Possible Answers:

8744

6239

6724

5974

Correct answer:

6724

Explanation:

First, recall how to find the perimeter of a square.

$\text{Perimeter}=4\times\text{side length}$

From this equation, we can solve for the side length of a square.

$\text{Side length}=\frac{\text{Perimeter}}{4}$

For the given square,

$\text{Side length}=\frac{328}{4}=82$

Now, recall how to find the area of a square.

$\text{Area}=\text{side length}^2$

For the square in question, we can plug in the side length we found from the perimeter to find the area.

$\text{Area}=82^2=6724$

Report an Error

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All Basic Geometry Resources

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Basic Geometry : Plane Geometry

Study concepts, example questions & explanations for Basic Geometry

All Basic Geometry Resources

Example Questions

Example Question #711 : Basic Geometry

Example Question #52 : Squares

Example Question #53 : Squares

Example Question #712 : Basic Geometry

Example Question #55 : Squares

Example Question #711 : Plane Geometry

Example Question #713 : Basic Geometry

Example Question #61 : Squares

Example Question #711 : Plane Geometry

Example Question #712 : Plane Geometry

All Basic Geometry Resources

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