Area problems
- 1. The base of a parallelogram is twice its height. If the area of the parallelogram is 338 sq.cm. Find its height?
Options- A. 13 cm
- B. 14 cm
- C. 16 cm
- D. 12 cm Discuss
Correct Answer: 13 cm
Explanation:
Let height =x Then, base =2x
2x * x = 338
=>x=13
- 2. Diagonals of a Trapezium ABCD with AB || CD intersect each other at the point O. If AB = 2CD, then the ratio of the areas of ?AOB and ?COD is
Options- A. 4:1
- B. 1:16
- C. 1:4
- D. 16:1 Discuss
Correct Answer: 4:1
- 3. If O is the orthocentre of a triangle ABC and ?BOC = 100°, the measure of ?BAC is
Options- A. 100°
- B. 180°
- C. 80°
- D. 200° Discuss
Correct Answer: 80°
- 4. What is the area (in cm2) of the circumcircle of a triangle whose sides are 6 cm, 8 cm and 10 cm respectively?
Options- A. 275/7
- B. 550/7
- C. 2200/7
- D. 1100/7 Discuss
Correct Answer: 550/7
- 5. Triangle PQR is inscribed in the circle whose radius is 14 cm. If PQ is the diameter of the circle and PR = 10 cm, then what is the area of the triangle PQR?
Options- A. 196
- B. 30√19
- C. 40√17
- D. 35√21 Discuss
Correct Answer: 30√19
- 6. PQR is a right angled triangle in which PQ = QR. If the hypotenuse of the triangle is 20 cm, then what is the area (in cm2) of the triangle PQR?
Options- A. 100?2
- B. 100
- C. 50?2
- D. 50 Discuss
Correct Answer: 100
- 7. PQRS is a square whose side is 20 cm. By joining opposite vertices of PQRS are get four triangles. What is the sum of the perimeters of the four triangles?
Options- A. 40√2
- B. 80√2 + 80
- C. 40√2 + 40
- D. 40√2 + 80 Discuss
Correct Answer: 80√2 + 80
- 8. ABCD is square and CDE is an equilateral triangle outside the square. What is the value (in degrees) of ?BEC?
Options- A. 15
- B. 30
- C. 25
- D. 10 Discuss
Correct Answer: 15
- 9. There is a circular garden of radius 21 metres. A path of width 3.5 metres is constructed just outside the garden. What is the area (in metres2) of the path?
Options- A. 50.05
- B. 57.56
- C. 52.12
- D. none Discuss
Correct Answer: none
- 10. In the given figure, PQRS is a square of side 8 cm. PQO = 60 deg. What is the area (in sq.cm) of the triangle POQ?
Options- A. 32√3
- B. 24[(√)-1]
- C. 48[(√3)-1]
- D. 16[3-(√3)] Discuss
Correct Answer: 16[3-(√3)]
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