# ISEE Middle Level Math : Quadrilaterals

## Example Questions

### Example Question #21 : Squares

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

Explanation:

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.

Explanation:

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.

Explanation:

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.

Explanation:

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.

Explanation:

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?

Explanation:

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?

Explanation:

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?

12

16

14

4

8

16

Explanation:

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?

Explanation:

The area of Square A is 5 * 5, or 25 m2.

Since each of Square B's sides is 2 meters longer, the sides measure 7 meters. Therefore, the area of square B is 49 m2.

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.

Explanation:

The area of a square can be found as follows:

Where:

So we can write: