MCQ Questions on Mensuration 2D for Competitive Exams Page-9 section-1

81.
In the given figure, ABCD and BEFG are squares of sides 8 cm and 6 cm respectively, what is the area (in cm²) of the shaded region?

A. 14

B. 12

C. 8

D. 16

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82.
In an isosceles triangle, the measure of each of equal sides is 10 cm and the angle between them is 45°, then area of the triangle is

A. $$25{\text{ c}}{{\text{m}}^2}$$

B. $$\frac{{25}}{2}\sqrt 2 {\text{ c}}{{\text{m}}^2}$$

C. $$25\sqrt 2 {\text{ c}}{{\text{m}}^2}$$

D. $$2\sqrt 3 {\text{ c}}{{\text{m}}^2}$$

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83.
In the given figure, ABCDEF is a regular hexagon of side 12 cm P, Q and R are the mid points of the sides AB, CD and EF respectively. What is the area (in cm²) of triangle PQR?

A. 27√6

B. 81√3

C. 54√3

D. 54√6

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84.
A horse is tied to a post by a rope. If the horse moves along a circular path always keeping the rope streched and describes 88 metres when it has traced out 72° at the centre, the length of the rope is
$$\left( {{\text{Take }}\pi = \frac{{22}}{7}} \right)$$

A. 70 m

B. 75 m

C. 80 m

D. 65 m

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85.
Three circles of radius 21 cm are placed in such a way that each circle touches the other two. What is the area of the portion enclosed by the three circles?

A. 441√3 - 693

B. 882√3 - 693

C. 882√3 - 462

D. 441√3 - 462

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86.
In the given figure, radius of a circle is 14√2 cm. PQRS is a square. EFGH, ABCD, WXYZ and LMNO are four identical squares. What is the total area (in cm²) of all small squares?

A. 31.36

B. 125.44

C. 62.72

D. 156.8

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87.
A square and a regular hexagon are drawn such that all the vertices of the square and the hexagon are on a circle of radius r cm. The ratio of area of the square and the hexagon is

A. 3 : 4

B. √2 : √3

C. 4 : 3√3

D. 1 : √2

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88.
One of the angles of a right-angled triangle is 15°, and the hypotenuse is 1 m. The area of the triangle (in sq. cm.) is

A. 1220

B. 1250

C. 1200

D. 1215

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89.
ABC is a triangle. AB = 5 cm, AC = $$\sqrt {41} $$ cm and BC = 8 cm. AD is perpendicular to BC. What is the area (in cm²) of triangle ABD?

A. 12

B. 6

C. 10

D. 20

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MCQ Questions on Mensuration 2D for Competitive Exams

81. In the given figure, ABCD and BEFG are squares of sides 8 cm and 6 cm respectively, what is the area (in cm2) of the shaded region?

Answer & Solution

82. In an isosceles triangle, the measure of each of equal sides is 10 cm and the angle between them is 45°, then area of the triangle is

Answer & Solution

83. In the given figure, ABCDEF is a regular hexagon of side 12 cm P, Q and R are the mid points of the sides AB, CD and EF respectively. What is the area (in cm2) of triangle PQR?

Answer & Solution

84. A horse is tied to a post by a rope. If the horse moves along a circular path always keeping the rope streched and describes 88 metres when it has traced out 72° at the centre, the length of the rope is $$\left( {{\text{Take }}\pi = \frac{{22}}{7}} \right)$$

Answer & Solution

85. Three circles of radius 21 cm are placed in such a way that each circle touches the other two. What is the area of the portion enclosed by the three circles?

Answer & Solution

86. In the given figure, radius of a circle is 14√2 cm. PQRS is a square. EFGH, ABCD, WXYZ and LMNO are four identical squares. What is the total area (in cm2) of all small squares?

Answer & Solution

87. A square and a regular hexagon are drawn such that all the vertices of the square and the hexagon are on a circle of radius r cm. The ratio of area of the square and the hexagon is

Answer & Solution

88. One of the angles of a right-angled triangle is 15°, and the hypotenuse is 1 m. The area of the triangle (in sq. cm.) is

Answer & Solution

89. ABC is a triangle. AB = 5 cm, AC = $$\sqrt {41} $$ cm and BC = 8 cm. AD is perpendicular to BC. What is the area (in cm2) of triangle ABD?

Answer & Solution

81.
In the given figure, ABCD and BEFG are squares of sides 8 cm and 6 cm respectively, what is the area (in cm²) of the shaded region?

82.
In an isosceles triangle, the measure of each of equal sides is 10 cm and the angle between them is 45°, then area of the triangle is

83.
In the given figure, ABCDEF is a regular hexagon of side 12 cm P, Q and R are the mid points of the sides AB, CD and EF respectively. What is the area (in cm²) of triangle PQR?

84.
A horse is tied to a post by a rope. If the horse moves along a circular path always keeping the rope streched and describes 88 metres when it has traced out 72° at the centre, the length of the rope is
$$\left( {{\text{Take }}\pi = \frac{{22}}{7}} \right)$$

85.
Three circles of radius 21 cm are placed in such a way that each circle touches the other two. What is the area of the portion enclosed by the three circles?

86.
In the given figure, radius of a circle is 14√2 cm. PQRS is a square. EFGH, ABCD, WXYZ and LMNO are four identical squares. What is the total area (in cm²) of all small squares?

87.
A square and a regular hexagon are drawn such that all the vertices of the square and the hexagon are on a circle of radius r cm. The ratio of area of the square and the hexagon is

88.
One of the angles of a right-angled triangle is 15°, and the hypotenuse is 1 m. The area of the triangle (in sq. cm.) is

89.
ABC is a triangle. AB = 5 cm, AC = $$\sqrt {41} $$ cm and BC = 8 cm. AD is perpendicular to BC. What is the area (in cm²) of triangle ABD?