GMAT Math : Squares

Study concepts, example questions & explanations for GMAT Math

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Example Questions

Example Question #61 : Geometry

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 .
Possible Answers:

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

Statement 2 alone is sufficient, but statement 1 alone is not 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.

Correct answer:

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 #62 : Geometry

What is the perimeter of the square? 

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

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.

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.

Correct answer:

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.
Possible Answers:

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.

Correct answer:

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.

 

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