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Basic Geometry : How to find the area of a square

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 #44 : Squares

In square units, find the area of the square with side lengths $\frac{2}{3}$ units.

Possible Answers:

$\frac{4}{9}$

$\frac{4}{3}$

$\frac{5}{6}$

$\frac{1}{3}$

Correct answer:

$\frac{4}{9}$

Explanation:

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

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

For the given square,

$\text{Area}=\left(\frac{2}{3}\right)^2=\frac{4}{9}$

When squarring a fraction we need to square both the numerator and the denominator.

$\left(\frac{2}{3}\right)^2==\frac{2^2}{3^2}=\frac{2\cdot 2}{3\cdot 3}=\frac{4}{9}$

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Example Question #297 : Quadrilaterals

In square units, find the area of the square with side length 0.6 units.

Possible Answers:

1.2

0.12

0.24

0.36

Correct answer:

0.36

Explanation:

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

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

For the given square,

$\text{Area}=0.6^2=0.36$

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

$0.6\rightarrow 6$

Now we multiple the integers together.

$0.6\cdot 0.6\rightarrow 6\cdot 6=36$

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,

$36\rightarrow 0.36$

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Example Question #703 : Plane Geometry

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

Possible Answers:

0.21

0.49

1.4

0.14

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 #301 : Quadrilaterals

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

Possible Answers:

1.6

0.16

0.72

0.64

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 #302 : Quadrilaterals

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

Possible Answers:

3200

6400

2400

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 #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.

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

Report an Error

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

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Basic Geometry : How to find the area of a square

Study concepts, example questions & explanations for Basic Geometry

All Basic Geometry Resources

Example Questions

Example Question #44 : Squares

Example Question #297 : Quadrilaterals

Example Question #703 : Plane Geometry

Example Question #301 : Quadrilaterals

Example Question #302 : Quadrilaterals

Example Question #711 : Basic Geometry

Example Question #52 : Squares

Example Question #53 : Squares

Example Question #712 : Basic Geometry

Example Question #55 : Squares

All Basic Geometry Resources

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