MCQ Questions on Mensuration 2D for Competitive Exams Page-6 section-1

51.
The altitude drawn to the base of an isosceles triangle is 8 cm and its perimeter is 64 cm. The area (in cm²) of the triangle is

A. 240

B. 180

C. 360

D. 120

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52.
In the given figure, PQRS is square whose side is 8 cm. PQS and QPR are two quadrants. A circle is placed touching both the quadrants and the square as shown in the figure. What is the area (in cm²) of the circle?

A. $$\frac{{13}}{{17}}$$

B. $$\frac{{11}}{{14}}$$

C. $$\frac{{19}}{{31}}$$

D. $$\frac{{15}}{{19}}$$

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53.
If the length of a diagonal of a square is (a + b), then the area of the square is:

A. a² + b²

B. $$\frac{1}{2}$$(a² + b²) + ab

C. a² + b² + 2ab

D. $$\frac{1}{2}$$(a² + b²)

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54.
In the given figure, PQRS is a square of side 8 cm. ∠PQO = 60°. What is the area (in cm²) of the triangle POQ?

A. $$32\sqrt 3 $$

B. $$24\left[ {\left( {\sqrt 3 } \right) - 1} \right]$$

C. $$48\left[ {\left( {\sqrt 3 } \right) - 1} \right]$$

D. $$16\left[ {3 - \left( {\sqrt 3 } \right)} \right]$$

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55.
In the given figure area of isosceles triangle ABE is 72 cm² and BE = AB and AB = 2AD, AE || DC, then what is the area (in cm²) of the trapezium ABCD?

A. 108

B. 124

C. 136

D. 144

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56.
The perimeter of a triangle is 40 cm and its area is 60 cm². If the largest side measures 17 cm, then the length (in cm) of the smallest side of the triangle is

A. 4

B. 6

C. 8

D. 15

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57.
The following diagram shows part of a fan. OAD and OFG are sectors of a circle with centre O, having radius 24 cm. The central angle of the sectors is 45° as shown in the figure. B, C, H and E lie on a circle with centre O and radius 8 cm. What is the shaded area (in cm²)?
Take π = 3.14

A. 425.16

B. 452.16

C. 620.88

D. 602.88

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58.
The cost of levelling a circular field at 50 paise per square metre is Rs. 7700. The cost (in Rs.) of putting up a fence all round it at Rs. 1.20 per metre is $$\left( {{\text{Use }}\pi = \frac{{22}}{7}} \right)$$

A. Rs. 132

B. Rs. 264

C. Rs. 528

D. Rs. 1056

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59.
A circle is inscribed in an equilateral triangle and a square is inscribed in that circle. The ratio of the areas of the triangle and the square is

A. √3 : 4

B. √3 : 8

C. 3√3 : 2

D. 3√3 : 1

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60.
The perimeters of a circle, a square and an equilateral triangle are same and their areas are C, S and T respectively. Which of the following statement is true?

A. C = S = T

B. C > S > T

C. C < S < T

D. S < C < T

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MCQ Questions on Mensuration 2D for Competitive Exams

51. The altitude drawn to the base of an isosceles triangle is 8 cm and its perimeter is 64 cm. The area (in cm2) of the triangle is

Answer & Solution

52. In the given figure, PQRS is square whose side is 8 cm. PQS and QPR are two quadrants. A circle is placed touching both the quadrants and the square as shown in the figure. What is the area (in cm2) of the circle?

Answer & Solution

53. If the length of a diagonal of a square is (a + b), then the area of the square is:

Answer & Solution

54. In the given figure, PQRS is a square of side 8 cm. ∠PQO = 60°. What is the area (in cm2) of the triangle POQ?

Answer & Solution

55. In the given figure area of isosceles triangle ABE is 72 cm2 and BE = AB and AB = 2AD, AE || DC, then what is the area (in cm2) of the trapezium ABCD?

Answer & Solution

56. The perimeter of a triangle is 40 cm and its area is 60 cm2. If the largest side measures 17 cm, then the length (in cm) of the smallest side of the triangle is

Answer & Solution

57. The following diagram shows part of a fan. OAD and OFG are sectors of a circle with centre O, having radius 24 cm. The central angle of the sectors is 45° as shown in the figure. B, C, H and E lie on a circle with centre O and radius 8 cm. What is the shaded area (in cm2)? Take π = 3.14

Answer & Solution

58. The cost of levelling a circular field at 50 paise per square metre is Rs. 7700. The cost (in Rs.) of putting up a fence all round it at Rs. 1.20 per metre is $$\left( {{\text{Use }}\pi = \frac{{22}}{7}} \right)$$

Answer & Solution

59. A circle is inscribed in an equilateral triangle and a square is inscribed in that circle. The ratio of the areas of the triangle and the square is

Answer & Solution

60. The perimeters of a circle, a square and an equilateral triangle are same and their areas are C, S and T respectively. Which of the following statement is true?

Answer & Solution

51.
The altitude drawn to the base of an isosceles triangle is 8 cm and its perimeter is 64 cm. The area (in cm²) of the triangle is

52.
In the given figure, PQRS is square whose side is 8 cm. PQS and QPR are two quadrants. A circle is placed touching both the quadrants and the square as shown in the figure. What is the area (in cm²) of the circle?

53.
If the length of a diagonal of a square is (a + b), then the area of the square is:

54.
In the given figure, PQRS is a square of side 8 cm. ∠PQO = 60°. What is the area (in cm²) of the triangle POQ?

55.
In the given figure area of isosceles triangle ABE is 72 cm² and BE = AB and AB = 2AD, AE || DC, then what is the area (in cm²) of the trapezium ABCD?

56.
The perimeter of a triangle is 40 cm and its area is 60 cm². If the largest side measures 17 cm, then the length (in cm) of the smallest side of the triangle is

57.
The following diagram shows part of a fan. OAD and OFG are sectors of a circle with centre O, having radius 24 cm. The central angle of the sectors is 45° as shown in the figure. B, C, H and E lie on a circle with centre O and radius 8 cm. What is the shaded area (in cm²)?
Take π = 3.14

58.
The cost of levelling a circular field at 50 paise per square metre is Rs. 7700. The cost (in Rs.) of putting up a fence all round it at Rs. 1.20 per metre is $$\left( {{\text{Use }}\pi = \frac{{22}}{7}} \right)$$

59.
A circle is inscribed in an equilateral triangle and a square is inscribed in that circle. The ratio of the areas of the triangle and the square is

60.
The perimeters of a circle, a square and an equilateral triangle are same and their areas are C, S and T respectively. Which of the following statement is true?