### All ISEE Middle Level Math Resources

## Example Questions

### Example Question #21 : Geometry

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 #22 : Geometry

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:**

16

12

14

8

4

**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 #1 : How To Find The Area Of A Square

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:

### Example Question #4 : How To Find The Area Of A Square

What is the area of a square if the length of one side is ?

**Possible Answers:**

**Correct answer:**

The area of a square is found by multiplying one side by itself.

We are given the side length, allowing us to solve.

### Example Question #5 : How To Find The Area Of A Square

A square has an area of 36, and each side is equal to What is the value of ?

**Possible Answers:**

**Correct answer:**

Each side of a square is equal to the square root of the area. The square root of 36 is 6, so each side is 6. Thus, 3x (being a side of the square is equal to 6. This means that x is equal to 2 because 3 times 2 is 6.

### Example Question #6 : How To Find The Area Of A Square

Find the area of a square with side length 10.

**Possible Answers:**

**Correct answer:**

To find the area of a square, simply use the formula. Thus,

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

The area of a square is ?

**Possible Answers:**

**Correct answer:**

The area of a square is the side length squared not the side length times .

### Example Question #8 : How To Find The Area Of A Square

If you are given one side length of a square, you can find the area with that information.

**Possible Answers:**

False

True

**Correct answer:**

True

To find the area of a square, you multiple . But with a square all the sides are equal so the equation really is or the side length squared. Since you are given the side length, you can find the area.

Certified Tutor

Certified Tutor