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ISEE Lower Level Math : How to find the area of a square

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Example Questions

Example Question #1191 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Find the area of a square that has a base of length 6 feet.

Possible Answers:

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

$24\text{ft}^2$ $\displaystyle 24\text{ft}^2$

$12\text{ft}^2$ $\displaystyle 12\text{ft}^2$

$18\text{ft}^2$ $\displaystyle 18\text{ft}^2$

$36\text{ft}^2$ $\displaystyle 36\text{ft}^2$

Correct answer:

$36\text{ft}^2$ $\displaystyle 36\text{ft}^2$

Explanation:

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

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

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

Now, we know the square has a base of length 6 feet. Because it is a square, we know that all sides are equal. Therefore, all sides are 6 feet.

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

$\text{area of square} = 6\text{ft} \cdot 6\text{ft}$ $\displaystyle \text{area of square} = 6\text{ft} \cdot 6\text{ft}$

$\text{area of square} = 36\text{ft}^2$ $\displaystyle \text{area of square} = 36\text{ft}^2$

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Example Question #111 : Squares

Use the following square to answer the question:

Square1

Find the area.

Possible Answers:

$5\text{cm}^2$ $\displaystyle 5\text{cm}^2$

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

$10\text{cm}^2$ $\displaystyle 10\text{cm}^2$

$25\text{cm}^2$ $\displaystyle 25\text{cm}^2$

$20\text{cm}^2$ $\displaystyle 20\text{cm}^2$

Correct answer:

$25\text{cm}^2$ $\displaystyle 25\text{cm}^2$

Explanation:

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

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

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

Now, let's look at the square.

Square1

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

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

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

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

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Example Question #42 : How To Find The Area Of A Square

Find the area of a square with a width of 7in.

Possible Answers:

$32\text{in}^2$ $\displaystyle 32\text{in}^2$

$28\text{in}^2$ $\displaystyle 28\text{in}^2$

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

$49\text{in}^2$ $\displaystyle 49\text{in}^2$

$48\text{in}^2$ $\displaystyle 48\text{in}^2$

Correct answer:

$49\text{in}^2$ $\displaystyle 49\text{in}^2$

Explanation:

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

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

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

Now, we know the width of the square is 7in. Because it is a square, we know that all sides are equal. Therefore, the length is also 7in.

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

$\text{area of square} = 7\text{in} \cdot 7\text{in}$ $\displaystyle \text{area of square} = 7\text{in} \cdot 7\text{in}$

$\text{area of square} = 49\text{in}^2$ $\displaystyle \text{area of square} = 49\text{in}^2$

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Example Question #41 : How To Find The Area Of A Square

Use the following square to answer the question:

Square4

Find the area.

Possible Answers:

$8\text{in}^2$ $\displaystyle 8\text{in}^2$

$4\text{in}^2$ $\displaystyle 4\text{in}^2$

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

$6\text{in}^2$ $\displaystyle 6\text{in}^2$

$2\text{in}^2$ $\displaystyle 2\text{in}^2$

Correct answer:

$4\text{in}^2$ $\displaystyle 4\text{in}^2$

Explanation:

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

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

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

Now, given the square

Square4

We can see the width is 2in. Because it is a square, all sides are equal. Therefore, the length is also 2in.

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

$\text{area of square} = 2\text{in} \cdot 2\text{in}$ $\displaystyle \text{area of square} = 2\text{in} \cdot 2\text{in}$

$\text{area of square} = 4\text{in}^2$ $\displaystyle \text{area of square} = 4\text{in}^2$

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Example Question #44 : How To Find The Area Of A Square

Find the area of a square that has a width of 10cm.

Possible Answers:

$20\text{cm}^2$ $\displaystyle 20\text{cm}^2$

$100\text{cm}$ $\displaystyle 100\text{cm}$

$40\text{cm}^2$ $\displaystyle 40\text{cm}^2$

$40\text{cm}$ $\displaystyle 40\text{cm}$

$100\text{cm}^2$ $\displaystyle 100\text{cm}^2$

Correct answer:

$100\text{cm}^2$ $\displaystyle 100\text{cm}^2$

Explanation:

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

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

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

Now, we know the width of the square is 10cm. Because it is a square, we know that all sides are equal. Therefore, the length is also 10cm.

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

$\text{area of square} = 10\text{cm} \cdot 10\text{cm}$ $\displaystyle \text{area of square} = 10\text{cm} \cdot 10\text{cm}$

$\text{area of square} = 100\text{cm}^2$ $\displaystyle \text{area of square} = 100\text{cm}^2$

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Example Question #41 : How To Find The Area Of A Square

Find the area of a square with a length of 13in.

Possible Answers:

$169\text{in}^2$ $\displaystyle 169\text{in}^2$

$154\text{in}^2$ $\displaystyle 154\text{in}^2$

$39\text{in}^2$ $\displaystyle 39\text{in}^2$

$144\text{in}^2$ $\displaystyle 144\text{in}^2$

$52\text{in}^2$ $\displaystyle 52\text{in}^2$

Correct answer:

$169\text{in}^2$ $\displaystyle 169\text{in}^2$

Explanation:

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

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

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

Now, we know the length of the square is 13in. Because it is a square, all sides are equal. Therefore, the length is also 13in.

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

$\text{area of square} = 13\text{in} \cdot 13\text{in}$ $\displaystyle \text{area of square} = 13\text{in} \cdot 13\text{in}$

$\text{area of square} = 169\text{in}^2$ $\displaystyle \text{area of square} = 169\text{in}^2$

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Example Question #45 : How To Find The Area Of A Square

Find the area of a square with a length of 11in.

Possible Answers:

$111\text{in}^2$ $\displaystyle 111\text{in}^2$

$121\text{in}^2$ $\displaystyle 121\text{in}^2$

$44\text{in}^2$ $\displaystyle 44\text{in}^2$

$110\text{in}^2$ $\displaystyle 110\text{in}^2$

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

Correct answer:

$121\text{in}^2$ $\displaystyle 121\text{in}^2$

Explanation:

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

$A = l \cdot w$ $\displaystyle A = l \cdot w$

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

Now, we know the length of the square is 11in. Because it is a square, all sides are equal. Therefore, the width is also 11in.

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

$A = 11\text{in} \cdot 11\text{in}$ $\displaystyle A = 11\text{in} \cdot 11\text{in}$

$A = 121\text{in}^2$ $\displaystyle A = 121\text{in}^2$

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Example Question #41 : How To Find The Area Of A Square

Find the length of one side of a square with an area of 64in.

Possible Answers:

$16\text{in}$ $\displaystyle 16\text{in}$

$9\text{in}$ $\displaystyle 9\text{in}$

$8\text{in}$ $\displaystyle 8\text{in}$

$14\text{in}$ $\displaystyle 14\text{in}$

$7\text{in}$ $\displaystyle 7\text{in}$

Correct answer:

$8\text{in}$ $\displaystyle 8\text{in}$

Explanation:

The formula to find area of a square is

A = x^2 $\displaystyle A = x^2$

where x is the length of one side of a square. Now, to find the length of a side, we will solve for x.

So, we know the area of the square is 64in. Knowing this, we can substitute into the formula. We get

$64\text{in} = x^2$ $\displaystyle 64\text{in} = x^2$

$\sqrt{64\text{in}} = \sqrt{x^2}$ $\displaystyle \sqrt{64\text{in}} = \sqrt{x^2}$

$8\text{in} = x$ $\displaystyle 8\text{in} = x$

$x = 8\text{in}$ $\displaystyle x = 8\text{in}$

Therefore, the length of one side of the square is 8in.

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Example Question #111 : Squares

Find the area of a square with a width of 7cm.

Possible Answers:

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

$42\text{cm}^2$ $\displaystyle 42\text{cm}^2$

$28\text{cm}^2$ $\displaystyle 28\text{cm}^2$

$49\text{cm}^2$ $\displaystyle 49\text{cm}^2$

$56\text{cm}^2$ $\displaystyle 56\text{cm}^2$

Correct answer:

$49\text{cm}^2$ $\displaystyle 49\text{cm}^2$

Explanation:

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

$A = l \cdot w$ $\displaystyle A = l \cdot w$

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

Now, we know the width of the square is 7cm. Because it is a square, all sides are equal. Therefore, the length is also 7cm. So, we get

$A = 7\text{cm} \cdot 7\text{cm}$ $\displaystyle A = 7\text{cm} \cdot 7\text{cm}$

$A = 49\text{cm}^2$ $\displaystyle A = 49\text{cm}^2$

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ISEE Lower Level Math : How to find the area of a square

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

All ISEE Lower Level Math Resources

Example Questions

Example Question #1191 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Example Question #111 : Squares

Example Question #42 : How To Find The Area Of A Square

Example Question #41 : How To Find The Area Of A Square

Example Question #44 : How To Find The Area Of A Square

Example Question #41 : How To Find The Area Of A Square

Example Question #45 : How To Find The Area Of A Square

Example Question #41 : How To Find The Area Of A Square

Example Question #111 : Squares

All ISEE Lower Level Math Resources

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