Area problems
- 1. The area of the largest triangle that can be inscribed in a semicircle of radius 6m is
Options- A. 36 sq.m
- B. 72 sq.m
- C. 18 sq.m
- D. 12 sq.m Discuss
Correct Answer: 36 sq.m
- 2. The area of a rectangle in 60 sq.cm and its perimeter is 34 cm, then the length of the diagonal is
Options- A. 17 cm
- B. 11 cm
- C. 15 cm
- D. 13 cm Discuss
Correct Answer: 13 cm
- 3. The length of the diagonal and the breadth of a rectangle are 17 cm and 8 cm respectively. Find its perimeter (in cm).
Options- A. 92
- B. 46
- C. 42
- D. 84 Discuss
Correct Answer: 46
- 4. The length of the base of an isosceles triangle is 2x2y+4z, and its perimeter is 4x2y+6z. Then the length of each of the equal sides is
Options- A. x+y
- B. x+y+z
- C. 2(x+y)
- D. x+z Discuss
Correct Answer: x+z
- 5. The length of a rectangle is increased by 25%. To maintain the same area, the breadth has to be decreased by
Options- A. 20%
- B. 25%
- C. 30%
- D. 40% Discuss
Correct Answer: 20%
- 6. Area of 4 walls of a cuboid 400 sq cm, its length is 15 cm and height is 8 cm. What is its breadth (in cm)?
Options- A. 12
- B. 20
- C. 24
- D. 10 Discuss
Correct Answer: 10
- 7. ?ABC is similar to ?PQR. If ratio of perimeter of ?ABC : perimeter of ?PQR is 5:9 and if PQ = 45 cm, then the length of AB (in cm) is?
Options- A. 15
- B. 20
- C. 25
- D. 16 Discuss
Correct Answer: 25
- 8. If the parallel sides of a trapezium are 8 cm and 4 cm, M and N are the mid points of the diagonals of the trapezium, then length of MN is
Options- A. 12 cm
- B. 6 cm
- C. 1 cm
- D. 2 cm Discuss
Correct Answer: 2 cm
- 9. An equilateral triangle of side 6 cm is inscribed in a circle. Then radius of the circle is
Options- A. 2?3 cm
- B. 3?2 cm
- C. 4?3 cm
- D. ?3 cm Discuss
Correct Answer: 2?3 cm
- 10. ABC is an isosceles right angled triangle having ?C = 90°. If D is any point on AB, then AD2+ BD2 is equal to
Options- A. CD2
- B. 2CD2
- C. 3CD2
- D. 4CD2 Discuss
Correct Answer: 2CD2
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