Civil Service Exam Reviewer · Measurement and Geometry · hard

A rhombus has diagonals of 10 cm and 27 cm. What is its area?

  1. 270 cm²
  2. 135 cm²
  3. 37 cm²
  4. 67.5 cm²

Answer

B. 135 cm²

Solution

A = (d₁ × d₂)/2 = (10 × 27)/2 = 135 cm².

More Measurement and Geometry questions

  1. On a map with scale 1 cm : 500 m, a park occupies 12 cm². What is its actual area?
  2. A lot measures 10,000 m². If land sells for ₱11,500 per square meter, how much does the lot cost, and how many hectares is it?
  3. Each exterior angle of a regular polygon measures 60°. How many sides does it have?
  4. A rice field of 15 hectares yields an average of 139 cavans per hectare. If palay sells for ₱1,200 per cavan, what is the total value of…
  5. A circle has an area of 452.16 m². What is its circumference? (π = 3.14)
  6. A rectangular tank 3 m × 2 m × 1 m is filled by a hose delivering 40 liters per minute. How long will it take to fill the tank?
  7. A 1-m pole casts a shadow 4 m long. At the same time, a building casts a shadow 48 m long. How tall is the building?
  8. If the edge is multiplied by 3, by what factor does the volume of a cube increase?
  9. How many diagonals does a polygon with 8 sides have?
  10. A garden 12 m by 11 m is surrounded by a walkway 2 m wide. What is the area of the walkway?

All Measurement and Geometry questions