DSQ: Calculating the length of the diagonal of a quadrilateral

Practice Questions

GMAT Quantitative Reasoning › DSQ: Calculating the length of the diagonal of a quadrilateral

Questions
9
1

Find the length of the diagonal of a square.

Statement 1: The area is 1.

Statement 2: The square is inscribed inside of a circle with all 4 corners touching the edge of the circle, and the circle has an area of 1.

2

Consider rectangle .

I) Side is fathoms long.

II) Side is three fourths of .

What is the length segment , the diagonal of ?

3

Find the length of the diagonal of rectangle DEFT.

I) Side DE is 3 times the length of side TD.

II) The perimeter of the rectangle is .

4

Quadrilateral

For rectangle PQRS, the ratio of PQ to QR is 2 to 3. What is the length of SQ?

(1) The length of PS is 9.

(2) The length of SR is 6.

5

Parallelogram

For parallelogram ABCD, what is the length of AC?

(1) BD is 16.

(2) AE is 9.

6

Quadrilateral

What is the length of PR?

(1) PQRS is a parallelogram

(2)

7

Parallelogram

What are the lengths of the diagonals in the parallelogram ?

8

Parallelogram

For the parellogram , the longest diagonal is . Is ?

  1. The area of is

  2. The perimeter of is

9

Find the diagonal of a square.

Statement 1: The perimeter of the square is known.

Statement 2: A secondary square with a known area encloses the primary square where all 4 corners of the primary square touch each of secondary square's edges.

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