Civil Service Exam Reviewer · Measurement and Geometry · hard

On a map with scale 1 cm : 250 m, a park occupies 7 cm². What is its actual area?

  1. 1,750 m²
  2. 175,000 m²
  3. 43,750 m²
  4. 437,500 m²

Answer

D. 437,500 m²

Solution

1 cm² on the map = 250 m × 250 m = 62,500 m². Area = 7 × 62,500 = 437,500 m². (Scale is squared for area.)

More Measurement and Geometry questions

  1. A lot measures 10,650 m². If land sells for ₱2,000 per square meter, how much does the lot cost, and how many hectares is it?
  2. A rice field of 3 hectares yields an average of 135 cavans per hectare. If palay sells for ₱1,200 per cavan, what is the total value of…
  3. The diagonal of a square is 20 cm. What is its area?
  4. The length and width of a rectangle are in the ratio 3 : 2, and its perimeter is 60 m. What is its area?
  5. The four walls of a room 4 m by 3 m with a 2.5-m ceiling are to be painted. There is a door of 2 m² and windows totaling 1 m². If 1 liter…
  6. A rectangular tank 3 m × 1 m × 2 m is filled by a hose delivering 20 liters per minute. How long will it take to fill the tank?
  7. A 50-m ladder leans against a wall with its foot 14 m from the wall. How high up the wall does it reach?
  8. If the radius is multiplied by 3, by what factor does the volume of a sphere increase?
  9. How many diagonals does a polygon with 16 sides have?
  10. A garden 21 m by 10 m is surrounded by a walkway 2 m wide. What is the area of the walkway?

All Measurement and Geometry questions