Square and its Properties

This is an MCQ-based quiz for GRE on the topic of Square.

A 4-sided regular polygon with all sides equal, all interior angles 90°, and whose location on the coordinate plane is determined by the coordinates of the four vertices.

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100 cm = 1 m Quantity A: The area of a square with side 1 m Quantity B: One hundred times the area of a square with side 1 cm

Quantity B is greater. The relationship cannot be determined from the information given. Quantity A is greater. The two quantities are equal.

If a square has a side length of √2, how long is the diagonal of the square?

4-√2 2 2√2 4 4√2

Quantity A: The diagonal of a square with a side-length of 7. Quantity B: The side-length of a square with a diagonal of 14.

Quantity B is greater. Quantity A is greater. The relationship between the two quantities cannot be determined from the information given. Both quantities are equal.

Quantity A: The side-length of a square with a perimeter of 30. Quantity B: The side-length of a square with an area of 30.

The relationship cannot be determined from the information given Quantity A is greater Both quantities are equal Quantity B is greater

Find the area of a square with a side length of 4.

16 24 32 8

What is the perimeter of a square that has an area of 81?

36 18 40.5 9

A square is inscribed in a circle. The diameter of the circle is 10 feet. What is the area of the square?

It cannot be determined from the information provided.

36 ft^2

50 ft^2

100 ft^2

25 ft^2