GMAT Quantitative Reasoning - Other Quadrilaterals

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

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.

3

Consider rectangle .

I) Side is fathoms long.

II) Side is three fourths of .

What is the length segment , the diagonal of ?

4

True or false: Quadrilateral is a rectangle.

Statement 1: $\bigtriangleup QUA \cong \bigtriangleup ADQ$

Statement 2: $\bigtriangleup QUA \cong \bigtriangleup UQD$

5

Find the perimeter of the rectangle.

Statement 1: The area of the rectangle is 24.

Statement 2: The diagonal of the rectangle is 5.

6