Civil Service Exam Reviewer · Measurement and Geometry · hard

The diagonal of a square is 28 cm. What is its area?

  1. 784 cm²
  2. 392 cm²
  3. 196 cm²
  4. 392.12 cm²

Answer

B. 392 cm²

Solution

For a square, A = d²/2 = 28²/2 = 392 cm².

More Measurement and Geometry questions

  1. The length and width of a rectangle are in the ratio 5 : 2, and its perimeter is 84 m. What is its area?
  2. The four walls of a room 3 m by 6 m with a 2.5-m ceiling are to be painted. There is a door of 2 m² and windows totaling 2 m². If 1 liter…
  3. A rectangular tank 1 m × 1 m × 2 m is filled by a hose delivering 40 liters per minute. How long will it take to fill the tank?
  4. A 3-m pole casts a shadow 6 m long. At the same time, a building casts a shadow 66 m long. How tall is the building?
  5. A garden 20 m by 6 m is surrounded by a walkway 2 m wide. What is the area of the walkway?
  6. A circle is inscribed in a square with sides of 8 cm. What is the area of the region inside the square but outside the circle? (π = 3.14)
  7. What is the volume of a cone with a radius of 3 cm and a height of 10 cm? (π = 3.14)
  8. A cylindrical water tank has a radius of 90 cm and a height of 90 cm. How many liters can it hold? (π = 3.14, 1 L = 1000 cm³)
  9. A window is shaped like a 9 dm × 13 dm rectangle topped by a semicircle whose diameter is the 13-dm side. What is the window's total area?…
  10. A runner moves at 28 m/s. How far in kilometers does she travel in 26 minutes?

All Measurement and Geometry questions