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Basic Geometry : Squares

Study concepts, example questions & explanations for Basic Geometry

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Example Questions

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

In square units, find the area of a square with side lengths 0.7 units.

Possible Answers:

1.4

0.14

0.21

0.49

Correct answer:

0.49

Explanation:

Use the following formula to find the area of a square:

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

For the given square,

$\text{Area}=0.7^2=0.49$

When multiplying decimals together first move the decimal over so that the number is a whole integer.

$0.7\rightarrow 7$

Now we multiple the integers together.

$0.7\cdot 0.7\rightarrow 7\cdot 7=49$

From here, we need to move the decimal place back. In this particular problem we moved the decimal over one time for each number for a total of two decimal places.

Therefore our answer becomes,

$49\rightarrow 0.49$

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Example Question #22 : How To Find The Area Of A Square

In square units, find the area of the square with side lengths of 0.8 .

Possible Answers:

1.6

0.16

0.64

0.72

Correct answer:

0.64

Explanation:

Use the following formula to find the area of a square:

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

For the given square,

$\text{Area}=0.8^2=0.64$

When multiplying decimals together first move the decimal over so that the number is a whole integer.

$0.8\rightarrow 8$

Now we multiple the integers together.

$0.8\cdot 0.8\rightarrow 8\cdot 8=64$

From here, we need to move the decimal place back. In this particular problem we moved the decimal over one time for each number for a total of two decimal places.

Therefore our answer becomes,

$64\rightarrow 0.64$

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Example Question #51 : Squares

If the perimeter of a square is 160 , find the area of the square.

Possible Answers:

3200

2400

6400

1600

Correct answer:

1600

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,

$\text{Side length}=\frac{160}{4}=40$

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.

$\text{Area}=40^2=1600$

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Example Question #26 : How To Find The Area Of A Square

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

Possible Answers:

225

249

169

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.

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

Report an Error

Example Question #27 : How To Find The Area Of A Square

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

Possible Answers:

450

500

400

300

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.

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

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Example Question #28 : How To Find The Area Of A Square

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

Possible Answers:

14400

6400

1200

3600

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.

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

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Example Question #23 : How To Find The Area Of A Square

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

Possible Answers:

361

441

264

239

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.

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

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Example Question #24 : How To Find The Area Of A Square

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

Possible Answers:

776

244

576

676

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 #31 : How To Find The Area Of A Square

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

Possible Answers:

325

225

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 #301 : Quadrilaterals

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

Possible Answers:

961

861

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

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Basic Geometry : Squares

Study concepts, example questions & explanations for Basic Geometry

All Basic Geometry Resources

Example Questions

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

Example Question #22 : How To Find The Area Of A Square

Example Question #51 : Squares

Example Question #26 : How To Find The Area Of A Square

Example Question #27 : How To Find The Area Of A Square

Example Question #28 : How To Find The Area Of A Square

Example Question #23 : How To Find The Area Of A Square

Example Question #24 : How To Find The Area Of A Square

Example Question #31 : How To Find The Area Of A Square

Example Question #301 : Quadrilaterals

All Basic Geometry Resources

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