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

## Example Questions

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### 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 #28 : Squares

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

4

14

8

16

12

16

Explanation:

The area of a square is represented by the equation .

Therefore the area of this square is .

### Example Question #29 : Squares

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: ### Example Question #31 : Squares

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

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 #32 : Squares

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

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 #33 : Squares

Find the area of a square with side length 10.     Explanation:

To find the area of a square, simply use the formula. Thus, ### Example Question #34 : Squares

The area of a square is ?   Explanation:

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

### Example Question #35 : Squares

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

True

False

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. 