# GMAT Math : Squares

## Example Questions

### Example Question #21 : Squares

The ratio of square A to square B is 3:1. Find the perimeter of square B

1. The area of square is .
2. The length of the diagonal of square B is .

Both statements taken together are sufficient to answer the question, but neither statement alone is sufficient.

Statements 1 and 2 are not sufficient, and additional data is needed to answer the question.

Each statement alone is sufficient to answer the question.

Statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question.

Statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question.

Each statement alone is sufficient to answer the question.

Explanation:

Statement 1: We can use the area to find the length of square A's side.

Keep in mind that the ratio of square A to square is 3:1.

Now that we know the length of the side, we can find the perimeter of square B.

Statement 2: We can use the diagonal to find the length of the side.

We can easily see the side measures  so we can now find the perimeter.

### Example Question #22 : Squares

What is the perimeter of the square?

1. A side measures .
2. The area of the square is .

Statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question.

Statements 1 and 2 are not sufficient, and additional data is needed to answer the question.

Each statement alone is sufficient to answer the question.

Both statements taken together are sufficient to answer the question, but neither statement alone is sufficient.

Statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question.

Each statement alone is sufficient to answer the question.

Explanation:

Recall the formula for perimeter of a square:

where  represents the length of a side.

Statement 1: We're given  so we can find the perimeter:

Statement 2: We're given the area  so we can solve for .

With , we can calculate the perimeter:

Each statement alone is sufficient to answer the question.

### Example Question #5 : Dsq: Calculating The Perimeter Of A Square

Find the perimeter of the square.

1. The diagonal measures  inches.
2. The diagonal is found by  where  represents a square's side length.

Both statements taken together are sufficient to answer the question, but neither statement alone is sufficient.

Each statement alone is sufficient to answer the question.

Statements 1 and 2 are not sufficient, and additional data is needed to answer the question.

Statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question.

Statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question.

Statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question.

Explanation:

Statement 1: We can find the length of the square's side using the information given.

so

We can now find the perimeter of the square:  inches

Statement 2: In order to find the length of the square's side using the information provided in Statement 1, we need to use this equation.

Statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question.

Tired of practice problems?

Try live online GMAT prep today.