DSQ: Calculating the perimeter of a square - GMAT Quantitative

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Question

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 ${}3\sqrt2{}$ inches.

Answer

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

Question

What is the perimeter of the square?

A side measures .

The area of the square is .

Answer

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 .

$s=\sqrt{25}=5$

With , we can calculate the perimeter:

Each statement alone is sufficient to answer the question.

Compare your answer with the correct one above

Question

Find the perimeter of the square.

The diagonal measures $6\sqrt{2}$ inches.

The diagonal is found by $x\sqrt{2}$ where represents a square's side length.

Answer

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

$Diagonal=x\sqrt{2}=6\sqrt{2}$

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.

Compare your answer with the correct one above

Question

Find the perimeter of the square.

The length of the diagonal of the square is $12\sqrt{2}$ .

The area of the square is .

Answer

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

$s=\sqrt{144}=12$

We can now find the perimeter in the same manner:

Therefore, each statement alone is sufficient to answer the question.

Compare your answer with the correct one above

Question

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 $4\sqrt{2} cm$ .

Answer

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.

$\frac{3}{1}=\frac{12}{s_{b}}$

$s_{b}=\frac{12}{3}=4$

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.

$d=s\sqrt{2}=4\sqrt{2}$

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

Compare your answer with the correct one above

Question

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 ${}3\sqrt2{}$ inches.

Answer

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

Question

What is the perimeter of the square?

A side measures .

The area of the square is .

Answer

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 .

$s=\sqrt{25}=5$

With , we can calculate the perimeter:

Each statement alone is sufficient to answer the question.

Compare your answer with the correct one above

Question

Find the perimeter of the square.

The diagonal measures $6\sqrt{2}$ inches.

The diagonal is found by $x\sqrt{2}$ where represents a square's side length.

Answer

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

$Diagonal=x\sqrt{2}=6\sqrt{2}$

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.

Compare your answer with the correct one above

Question

Find the perimeter of the square.

The length of the diagonal of the square is $12\sqrt{2}$ .

The area of the square is .

Answer

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

$s=\sqrt{144}=12$

We can now find the perimeter in the same manner:

Therefore, each statement alone is sufficient to answer the question.

Compare your answer with the correct one above

Question

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 $4\sqrt{2} cm$ .

Answer

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.

$\frac{3}{1}=\frac{12}{s_{b}}$

$s_{b}=\frac{12}{3}=4$

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.

$d=s\sqrt{2}=4\sqrt{2}$

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

Compare your answer with the correct one above

Question

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 ${}3\sqrt2{}$ inches.

Answer

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

Question

What is the perimeter of the square?

A side measures .

The area of the square is .

Answer

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 .

$s=\sqrt{25}=5$

With , we can calculate the perimeter:

Each statement alone is sufficient to answer the question.

Compare your answer with the correct one above

Question

Find the perimeter of the square.

The diagonal measures $6\sqrt{2}$ inches.

The diagonal is found by $x\sqrt{2}$ where represents a square's side length.

Answer

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

$Diagonal=x\sqrt{2}=6\sqrt{2}$

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.

Compare your answer with the correct one above

Question

Find the perimeter of the square.

The length of the diagonal of the square is $12\sqrt{2}$ .

The area of the square is .

Answer

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

$s=\sqrt{144}=12$

We can now find the perimeter in the same manner:

Therefore, each statement alone is sufficient to answer the question.

Compare your answer with the correct one above

Question

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 $4\sqrt{2} cm$ .

Answer

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.

$\frac{3}{1}=\frac{12}{s_{b}}$

$s_{b}=\frac{12}{3}=4$

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.

$d=s\sqrt{2}=4\sqrt{2}$

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

Compare your answer with the correct one above

Question

What is the perimeter of the square?

A side measures .

The area of the square is .

Answer

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 .

$s=\sqrt{25}=5$

With , we can calculate the perimeter:

Each statement alone is sufficient to answer the question.

Compare your answer with the correct one above

Question

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 ${}3\sqrt2{}$ inches.

Answer

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

Question

Find the perimeter of the square.

The diagonal measures $6\sqrt{2}$ inches.

The diagonal is found by $x\sqrt{2}$ where represents a square's side length.

Answer

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

$Diagonal=x\sqrt{2}=6\sqrt{2}$

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.

Compare your answer with the correct one above

Question

Find the perimeter of the square.

The length of the diagonal of the square is $12\sqrt{2}$ .

The area of the square is .

Answer

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

$s=\sqrt{144}=12$

We can now find the perimeter in the same manner:

Therefore, each statement alone is sufficient to answer the question.

Compare your answer with the correct one above

Question

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 $4\sqrt{2} cm$ .

Answer

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.

$\frac{3}{1}=\frac{12}{s_{b}}$

$s_{b}=\frac{12}{3}=4$

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.

$d=s\sqrt{2}=4\sqrt{2}$

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

Compare your answer with the correct one above

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