### All ISEE Middle Level Math Resources

## Example Questions

### Example Question #21 : Squares

Find the perimeter of a square with a width of 9in.

**Possible Answers:**

**Correct answer:**

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

where *a, b, c, *and *d* are the lengths of the sides of the square.

Now, we know the width of the square is 9in. Because it is a square, all sides are equal. Therefore, all sides are 9in. So, we can substitute.

### Example Question #22 : Squares

Find the perimeter of a square with a width of 9cm.

**Possible Answers:**

**Correct answer:**

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

where *a, b, c, *and *d* are the lengths of the sides of the square.

Now, we know the width of the square is 9cm. Because it is a square, all sides are equal. Therefore, all sides are 9cm. So, we can substitute. We get

### Example Question #23 : Squares

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

**Possible Answers:**

**Correct answer:**

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

where *a, b, c, *and *d* are the lengths of the sides of the square.

Now, we know the length of the square is 6in. Because it is a square, all sides are equal. Therefore, all sides are 6in. So, we can substitute. We get

### Example Question #24 : Squares

Find the perimeter of a square with a length of 14cm.

**Possible Answers:**

**Correct answer:**

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

where *a, b, c, *and *d* are the lengths of the sides of the square.

Now, we know the width of the square is 14cm. Because it is a square, all sides are equal. Therefore, all sides are 14cm. So, we get

### Example Question #25 : Squares

Find the perimeter of a square that has a length of 13in.

**Possible Answers:**

**Correct answer:**

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

where *a, b, c, *and *d* are the lengths of the sides of the square.

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

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

### Example Question #26 : Squares

Which of the following is equal to the area of a square with perimeter 8 meters?

**Possible Answers:**

**Correct answer:**

The sidelength of a square is one-fourth its perimeter, so the sidelength here is one-fourth of 8, or 2, meters. One meter is equal to 100 centimeters, so the sidelength is 200 centimeters. Square this to get the area:

square centimeters.

### Example Question #27 : Squares

Which of the following is the area of a square with perimeter 7 feet?

**Possible Answers:**

**Correct answer:**

Convert 7 feet to inches by multiplying by 12: inches.

The sidelength of a square is one-fourth its perimeter, so the sidelength here is one-fourth of 84 inches. This is inches.

Square this to get the area:

square inches

### Example Question #1 : How To Find The Area Of A Square

What is the area of a square with a side length of 4?

**Possible Answers:**

12

16

14

4

8

**Correct answer:**

16

The area of a square is represented by the equation .

Therefore the area of this square is .

### Example Question #2 : How To Find The Area Of A Square

Square A has sides measuring 5 meters. A second square, Square B, has sides that are 2 meters longer than the sides of Square A. What is the difference in area of Square A and Square B?

**Possible Answers:**

**Correct answer:**

The area of Square A is 5 * 5, or 25 m^{2}.

Since each of Square B's sides is 2 meters longer, the sides measure 7 meters. Therefore, the area of square B is 49 m^{2}.

Subtract to find the difference in areas:

### Example Question #30 : Squares

The ratio of the length of a side of one square to the length of the side of another square is . Give the ratio of the area of the second square to the area of the first square.

**Possible Answers:**

**Correct answer:**

The area of a square can be found as follows:

Where:

So we can write:

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