Area problems
- 1. ABCDEF is a regular hexagon of side 12 cm. What is the area (in cm2) of the triangle ECD?
Options- A. 18?3
- B. 24?3
- C. 36?3
- D. 42?3 Discuss
Correct Answer: 36?3
- 2. Two circles touch each other at point X. A common tangent touch them at two distinct points Y and Z. If another tangent passing through X cut YZ at A and XA= 16 cm, then what is the value (in cm) of YZ?
Options- A. 18
- B. 24
- C. 16
- D. 32 Discuss
Correct Answer: 32
- 3. All sides are congruent in a _____.
Options- A. Rectangle
- B. Parallelogram
- C. Rhombus
- D. Kite Discuss
Correct Answer: Rhombus
- 4. The area of a circular cricket ground is 24.64 hectares. Find the cost of making rope boundary at the rate of Rs. 5.40 per metre.
Options- A. Rs. 9,600
- B. Rs. 9,504
- C. Rs. 9,802
- D. Rs. 9,876 Discuss
Correct Answer: Rs. 9,504
- 5. If the radius of a circle is decreased by 50%, find the percentage decrease in its area.
Options- A. 55%
- B. 65%
- C. 75%
- D. 85% Discuss
Correct Answer: 75%
Explanation:
Let original radius = R.
New radius = =
Original area = and new area =
Decrease in area = = 75%
- 6. The length of a rectangle is 12 cm. What is the width if the area is 72 cm ?
Options- A. 6cm
- B. 5cm
- C. 3cm
- D. 4cm Discuss
Correct Answer: 6cm
Explanation:
A=lb
- 7. Find the perimeter of the rectangle or square with the given dimensions s = 3 cm
Options- A. 12
- B. 13
- C. 14
- D. 15 Discuss
Correct Answer: 12
Explanation:
P=4s
- 8. Find the perimeter of the rectangle or square with the given dimensions s = 3 cm
Options- A. 12
- B. 13
- C. 14
- D. 15 Discuss
Correct Answer: 12
Explanation:
P=4s
- 9. In a wheelchair slalom event, athletes weave around cones and race to the finish line. A diagram of the rectangular course is shown. Find the perimeter of the course
Options- A. 32
- B. 42
- C. 62
- D. 92 Discuss
Correct Answer: 92
Explanation:
P = 2l + 2w
- 10. If the ratio of area of rectangle to its perimeter is 60:11. And length and breadth are in the ratio 6 : 5. Find length of rectangle.
Options- A. 40 units
- B. 30 units
- C. 13 units
- D. 24 units Discuss
Correct Answer: 24 units
Explanation:
Ratio of length and breadth is 6 : 5
? Length = 6x
Breadth = 5x
? Area = l x b = 30x2
? Perimeter = 2 (l + b) = 2(6x + 5x) =22x
? (30*x*x)/(22x)= 60/11
? X = 4
? Length = 6x = 6 x 4 = 24 units
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