ISEE Lower Level Math : Squares

Study concepts, example questions & explanations for ISEE Lower Level Math

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Example Questions

Example Question #30 : How To Find The Area Of A Square

What is the area of a square with a side length of \(\displaystyle 11.8\) inches?

Possible Answers:

\(\displaystyle 145.21\)

\(\displaystyle 139.24\)

\(\displaystyle 139.121\)

\(\displaystyle 133.12\)

\(\displaystyle 140.24\)

Correct answer:

\(\displaystyle 139.24\)

Explanation:

To find the area of a square, simply multiply the side length by itself.  As \(\displaystyle 11.8\) is the side length, that's the number you will multiply by itself.  The best answer is:

\(\displaystyle 11.8 * 11.8 = 139.24\)

Example Question #231 : Quadrilaterals

What is the area of a square with a side length of \(\displaystyle 4.1\) inches?

Possible Answers:

\(\displaystyle 16.88\)

\(\displaystyle 16.81\)

\(\displaystyle 15.81\)

\(\displaystyle 17.81\)

\(\displaystyle 16.84\)

Correct answer:

\(\displaystyle 16.81\)

Explanation:

To find the area of a square, simply multiply the side length by itself. As \(\displaystyle 4.1\) is the side length, that is the number you will use. The best answer is:

\(\displaystyle 4.1 * 4.1 = 16.81\)

Example Question #232 : Quadrilaterals

What is the area of a square with a side length of \(\displaystyle 140\) inches?

Possible Answers:

\(\displaystyle 1960\)

\(\displaystyle 19600\)

\(\displaystyle 20600\)

\(\displaystyle 19200\)

\(\displaystyle 19400\)

Correct answer:

\(\displaystyle 19600\)

Explanation:

To find the area of a square, simply multiply the side length by itself. As \(\displaystyle 140\) is the side length, that is the number you will use. The best answer is:

\(\displaystyle 140 * 140 = 19600\)

Example Question #233 : Quadrilaterals

Find the area of a square with a side having a length of 9 inches.

Possible Answers:

\(\displaystyle 81\text{in}^2\)

\(\displaystyle 81\text{in}\)

\(\displaystyle 36\text{in}\)

\(\displaystyle \text{There is not enough information to solve the problem.}\)

\(\displaystyle 36\text{in}^2\)

Correct answer:

\(\displaystyle 81\text{in}^2\)

Explanation:

To find the area of a square, we use the following formula:

\(\displaystyle \text{area of square} = l \cdot w\)

where l is the length and w is the width of the square. 

 

We know the square has a side of length 9 inches.  We also know a square has 4 equal sides.  So all sides are the same.  Knowing this, we can substitute into the equation.  We get

\(\displaystyle \text{area of square} = 9\text{in} \cdot 9\text{in}\)

\(\displaystyle \text{area of square} = 81\text{in}^2\)

Example Question #234 : Quadrilaterals

Find the area of a square with a length of 6in. 

Possible Answers:

\(\displaystyle 36\text{in}^2\)

\(\displaystyle 24\text{in}\)

\(\displaystyle \text{There is not enough information to solve the problem.}\)

\(\displaystyle 24\text{in}^2\)

\(\displaystyle 36\text{in}\)

Correct answer:

\(\displaystyle 36\text{in}^2\)

Explanation:

To find the area of a square, we will use the following formula:

\(\displaystyle \text{area of square} = l \cdot w\)

where l is the length and w is the width of the square.

 

Now, we know the length of the square is 6in.  Because it is a square, we know that all sides are equal and all sides have the same length.  Therefore, the width is also 6in.  Knowing this, we can substitute into the formula.  We get

\(\displaystyle \text{area of square} = 6\text{in} \cdot 6\text{in}\)

\(\displaystyle \text{area of square} = 36\text{in}^2\)

Example Question #235 : Quadrilaterals

Find the area of a square with a base of length 3 feet.

Possible Answers:

\(\displaystyle 9\text{ft}\)

\(\displaystyle \text{There is not enough information to solve the problem.}\)

\(\displaystyle 12\text{ft}\)

\(\displaystyle 9\text{ft}^2\)

\(\displaystyle 12\text{ft}^2\)

Correct answer:

\(\displaystyle 9\text{ft}^2\)

Explanation:

To find the area of a square, we will use the following formula:

\(\displaystyle \text{area of square} = l \cdot w\)

where l is the length and w is the width.  

 

We know the square has a base of length 3 feet.  Because it is a square, we know that all sides are equal.  This means that all sides have the same length.  Therefore, the width is also 3 feet.  Knowing this, we can substitute into the formula.  We get

\(\displaystyle \text{area of square} = 3\text{ft} \cdot 3\text{ft}\)

\(\displaystyle \text{area of square} = 9\text{ft}^2\)

Example Question #236 : Quadrilaterals

Find the area of a square with a base of length 3 feet.

Possible Answers:

\(\displaystyle \text{There is not enough information to solve the problem.}\)

\(\displaystyle 12\text{ft}\)

\(\displaystyle 9\text{ft}\)

\(\displaystyle 12\text{ft}^2\)

\(\displaystyle 9\text{ft}^2\)

Correct answer:

\(\displaystyle 9\text{ft}^2\)

Explanation:

To find the area of a square, we will use the following formula:

\(\displaystyle \text{area of square} = l \cdot w\)

where l is the length and w is the width of the square.

 

Now, we know the base, or length, of the square is 3 feet.  Because it is a square, we know that all sides are equal.  Therefore, the width is also 3 feet.  Knowing this, we can substitute into the formula.  We get

\(\displaystyle \text{area of square} = 3\text{ft} \cdot 3\text{ft}\)

\(\displaystyle \text{area of square} = 9\text{ft}^2\)

Example Question #101 : Squares

Find the area of square that has a width of 11cm.

Possible Answers:

\(\displaystyle 121\text{cm}\)

\(\displaystyle \text{There is not enough information to solve the problem.}\)

\(\displaystyle 121\text{cm}^2\)

\(\displaystyle 44\text{cm}^2\)

\(\displaystyle 44\text{cm}^2\)

Correct answer:

\(\displaystyle 121\text{cm}^2\)

Explanation:

To find the area of a square, we will use the following formula:

\(\displaystyle \text{area of square} = l \cdot w\)

where l is the length and w is the width of the square.

 

Now, we know the width of the square is 11cm.  Because it is a square, we know that all sides are equal, which means all sides are 11cm.  Therefore, the length is also 11cm.  Knowing this, we can substitute into the formula.  We get

\(\displaystyle \text{area of square} = 11\text{cm} \cdot 11\text{cm}\)

\(\displaystyle \text{area of square} = 121\text{cm}^2\)

Example Question #102 : Squares

Find the area of a square with a width of 8in.

Possible Answers:

\(\displaystyle 36\text{in}^2\)

\(\displaystyle 32\text{in}\)

\(\displaystyle 32\text{in}^2\)

\(\displaystyle 64\text{in}^2\)

\(\displaystyle 64\text{in}\)

Correct answer:

\(\displaystyle 64\text{in}^2\)

Explanation:

To find the area of a square, we will use the following formula:

\(\displaystyle \text{area of square} = l \cdot w\)

where l is the length and w is the width of the rectangle.

 

Now, we know the width of the square is 8in.  Because it is a square, all sides are equal.  This means all sides are 8in.  Therefore, the length is 8in.  Knowing this, we can substitute into the formula.  We get

\(\displaystyle \text{area of square} = 8\text{in} \cdot 8\text{in}\)

\(\displaystyle \text{area of square} = 64\text{in}^2\)

Example Question #101 : Squares

Use the following square to answer the question:

Square1

Find the area.

Possible Answers:

\(\displaystyle 25\text{cm}^2\)

\(\displaystyle \text{There is not enough information to solve the problem.}\)

\(\displaystyle 5\text{cm}^2\)

\(\displaystyle 10\text{cm}^2\)

\(\displaystyle 20\text{cm}^2\)

Correct answer:

\(\displaystyle 25\text{cm}^2\)

Explanation:

To find the area of a square, we will use the following formula:

\(\displaystyle \text{area of square} = l \cdot w\)

where l is the length and w is the width of the square.

 

Now, let's look at the square.

Square1

We can see that the length is 5cm.  Because it is a square, we know that all sides are equal.  Therefore, the width is also 5cm. 

Knowing this, we can substitute into the formula.  We get

\(\displaystyle \text{area of square} = 5\text{cm} \cdot 5\text{cm}\)

\(\displaystyle \text{area of square} = 25\text{cm}^2\)

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