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

Example Questions

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

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 #1 : How To Find The Area Of A Square

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 #1801 : Hspt Mathematics

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

14

4

12

16

8

16

Explanation:

The area of a square is represented by the equation .

Therefore the area of this square is .

Example Question #1 : 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 #5 : 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.

Explanation:

The area of a square can be found as follows:

Where:

So we can write:

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

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 #7 : 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 ?

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 #2 : How To Find The Area Of A Square

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 #3 : How To Find The Area Of A Square

The area of a square is ?

Explanation:

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

Example Question #10 : 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.

True

False