DSQ: Calculating the perimeter of a square - GMAT Quantitative Reasoning
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What is the perimeter of the square?
- A side measures
.
- The area of the square is
.
What is the perimeter of the square?
- A side measures
- The area of the square is
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.
Recall the formula for perimeter of a square:
where
Statement 1: We're given
Statement 2: We're given the area
With
Each statement alone is sufficient to answer the question.
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Gene is building a fence. He is using square fence posts and needs to know the total distance around one pole. Help him find the distance,
I) The fence will be 
feet tall and 
feet long.
II) The diagonal distance from one corner of a fence post to its other corner is 
inches.
Gene is building a fence. He is using square fence posts and needs to know the total distance around one pole. Help him find the distance,
I) The fence will be
II) The diagonal distance from one corner of a fence post to its other corner is
We are asked to find the perimeter of a square. To do that we need a side length.
I) Is irrelevant and is trying to distract you with other aspects of the question.
II) Gives you the diagonal of the square. The diagonal of a square creates two 45/45/90 triangles.
Use this knowledge to find the other side lengths and then the perimeter.
We are asked to find the perimeter of a square. To do that we need a side length.
I) Is irrelevant and is trying to distract you with other aspects of the question.
II) Gives you the diagonal of the square. The diagonal of a square creates two 45/45/90 triangles.
Use this knowledge to find the other side lengths and then the perimeter.
Compare your answer with the correct one above
Find the perimeter of the square.
- The diagonal measures
inches.
- The diagonal is found by
where 
represents a square's side length.
Find the perimeter of the square.
- The diagonal measures
- The diagonal is found by
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.
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:
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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Find the perimeter of the square.
- The length of the diagonal of the square is
.
- The area of the square is
.
Find the perimeter of the square.
- The length of the diagonal of the square is
- The area of the square is
Statement 1: The length of the diagonal of a square is found by multiplying the length of one side by the square root of 
. In this case, it is easy to see the length of the side is 
.
Knowing the length of the side, we can find the perimeter of the square:
Statement 2: We can use the given area to solve for the length of the side
where 
represents the side's length
We can now find the perimeter in the same manner:
Therefore, each statement alone is sufficient to answer the question.
Statement 1: The length of the diagonal of a square is found by multiplying the length of one side by the square root of
Knowing the length of the side, we can find the perimeter of the square:
Statement 2: We can use the given area to solve for the length of the side
where
We can now find the perimeter in the same manner:
Therefore, each statement alone is sufficient to answer the question.
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The ratio of square A to square B is 3:1. Find the perimeter of square B.
- The area of square A is
.
- The length of the diagonal of square B is
.
The ratio of square A to square B is 3:1. Find the perimeter of square B.
- The area of square A is
- The length of the diagonal of square B is
Statement 1: We can use the area to find the length of square A'sside.
Keep in mind that the ratio of square A to square B 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.
Statement 1: We can use the area to find the length of square A'sside.
Keep in mind that the ratio of square A to square B 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
Compare your answer with the correct one above