Squares

Practice Questions

GMAT Quantitative Reasoning › Squares

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1

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

2

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A circle is inscribed in a square. The square has an area of , what is the perimeter of the circle?

3

Two squares in the same plane have the same center. The length of one side of the larger square is 10; the area of the region between the squares is 60. Give the length of one side of the smaller square.

4

Two squares in the same plane have the same center. The length of one side of the smaller square is 10; the area of the region between the squares is 60. Give the length of one side of the larger square.

5

Write, in terms of , the perimeter of a square whose area is

6

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A circle is inscribed in a square. The diagonal of the square is , what is the area of the circle?

7

Find the length of the diagonal of a square whose side length is .

8

A square and a regular pentagon have the same perimeter. The length of one side of the pentagon is 60 centimeters. What is the area of the square?

9

Six squares have sidelengths 8 inches, 1 foot, 15 inches, 20 inches, 2 feet, and 25 inches. What is the sum of their areas?

10

Squares

Note: Figure NOT drawn to scale

Refer to the above figure, which shows Square and Square . and Square has area 49. Give the area of Square .

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