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- Question
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
- Correct Answer
- √265 cm
ExplanationHypotenuse = 10cmLet the other 2 perpendicular sides be a and bArea ½ a*b = 24So a*b = 48 cm^2Also using Pythagoras - 1. 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
- 2. Find the curved surface area (in cm²) of a hemisphere of diameter 28 cm
Options- A. 1152
- B. 1024
- C. 956
- D. 1232 Discuss
- 3. 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
- 4. 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
- 5. If 4 circles of equal radius are drawn with vertices of a square as the centre , the side of the square being 7 cm, find the area of the circles outside the square ?
Options- A. 119.21 sq cm
- B. 115.395 sq cm
- C. 104.214 sq cm
- D. 111.241 sq cm Discuss
- 6. 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 Discuss
- 7. 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
- 8. 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
- 9. 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
- 10. 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
Area problems
Search Results
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: 115.395 sq cm
Explanation:
Because each vertice of the square is the center of a circle
(1/4) part of the total area of each circle inside of the square.
(3/4) part of the total area of each circle outside of the square.
Thus total area outside the square is
= 115.3955 sq cm.
Correct Answer: 55.44
Correct Answer: 90
Correct Answer: 88 cm
Correct Answer: 972π
Correct Answer: 100m
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