Calculating the area of a square

Practice Questions

GMAT Quantitative Reasoning › Calculating the area of a square

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1

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

2

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

3

What polynomial represents the area of Square if ?

4

A square, a regular pentagon, and a regular hexagon have the same sidelength. The sum of their perimeters is one mile. What is the area of the square?

5

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?

6

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 .

7

Squares

Note: Figure NOT drawn to scale

Refer to the above figure, which shows Square and Square . and Square has area 25. Give the area of Square .

8

Squares

Note: Figure NOT drawn to scale

Refer to the above figure, which shows Square and Square . The ratio of to is 7 to 1.

Which of these responses comes closest to what percent the area of Square is of that of Square ?

9

The perimeter of a square is the same as the circumference of a circle with area 100. What is the area of the square?

10

The perimeter of a square is the same as the length of the hypotenuse of a right triangle with legs 8 and 12. What is the area of the square?

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