Discussion
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- Question
What is the area (in sq cm) of a circle whose circumference is 26.4 cm?
Options- A. 55.44
- B. 44.55
- C. 33.44
- D. 44.33
- Correct Answer
- 55.44
- 1. The hypotenuse of a right-angled triangle 10 cm and its area is 24 cm^2. If the shorts side is halved and the longer side is double, the new hypotenuse becomes
Options- A. √245 cm
- B. √255cm
- C. √265cm
- D. √275 cm Discuss
- 2. The length and breadth of a rectangle is in the ratio of 3 : 1. If its perimeter is 96 m, then what is the length of the rectangle?
Options- A. 36m
- B. 24m
- C. 12m
- D. 48m Discuss
- 3. Find the curved surface area (in cm²) of a hemisphere of diameter 28 cm
Options- A. 1152
- B. 1024
- C. 956
- D. 1232 Discuss
- 4. The perimeter of a rectangle whose length is 6 metre more than its breadth is 84 metre. What is the area of the triangle whose base is equal to the diagonal of the rectangle and height is equal to the length of the rectangle?
Options- A. 360sq metre
- B. 380 sq metre
- C. 360 metre
- D. 400 sq metre Discuss
- 5. A rectangular lawn of dimensions 80 m x 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m ?
Options- A. Rs. 3600
- B. Rs. 3800
- C. Rs. 3900
- D. Rs. 3700 Discuss
- 6. D and E are points on side AB and AC of ?ABC. DE is parallel to BC. If AD:DB = 2:5 and area of ?ABC is 98 cm sq, what is the area (in sq cm) of quadrilateral BDEC?
Options- A. 90
- B. 98
- C. 94
- D. 86 Discuss
- 7. The area of a circle is 616 sq cm, find its circumference?
Options- A. 44 cm
- B. 88 cm
- C. 22 cm
- D. 176 cm Discuss
- 8. The area of the largest sphere ( in cm2) that can be drawn inside a square of side 18 cm is
Options- A. 972π
- B. 11664π
- C. 36π
- D. 288π Discuss
- 9. The four sides of a quadrilateral are in the ratio of 2:3:4:5 and its perimeter is 280m. The length of the longest side is
Options- A. 100m
- B. 150m
- C. 175m
- D. 180m Discuss
- 10. In ?ABC, AC = BC and ?ABC = 50°, the side BC is produced to D so that BC = CD then the value of ?BAD is
Options- A. 80°
- B. 40°
- C. 90°
- D. 50° Discuss
Area problems
Search Results
Correct Answer: √265 cm
Explanation:
Hypotenuse = 10cm
Let the other 2 perpendicular sides be a and b
Area ½ a*b = 24
So a*b = 48 cm^2
Also using Pythagoras
Correct Answer: 36m
Explanation:
Let the length of the rectangle be 3x and breadth be 1x
Given, perimeter = 96 m
2(l + b) = 96 (or) l + b = 48 (or) 3x + 1x = 48 (or) x = 12 m
Now, Length of the rectangle = 12 x 3 = 36 m
Correct Answer: 1232
Correct Answer: 360sq metre
Explanation:
Let the breadth of rectangle be x m.
Then, the length of rectangle = (x+ 6) m
Perimeter of rectangle = 2 (x+x+ 6) m
Therefore, 2 (x+x+ 6) = 84 m
4x+ 12 = 84
4x= 84 ?12
4x = 72/4 = 18
Therefore, length of rectangle = 18 + 6 = 24 m = height of triangle
Diagonal of rectangle = ?(324+576) = 30 m = base of triangle
Therefore, are of triangle =1/2× base × height =1/2× 24 × 30 = 360 sq. m
Correct Answer: Rs. 3900
Explanation:
Area = (l + b ? d) d
= (80 + 60 ? 10)10
=> 1300 sq.mts
=> 1300 x 3 = Rs.3900
Correct Answer: 90
Correct Answer: 88 cm
Correct Answer: 972π
Correct Answer: 100m
Correct Answer: 90°
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