Mcq on square and rectangle

Q. A rectangular playground of length 125 m and width 75 m, has a walking strip of width 5m in the middle of the ground and parallel to shorter side. What is the area of the ground without the walking strip?

1. 9375 sq.m
2. 9000 sq.m
3. 9750 sq.m
4. 8625 sq.m

Ans: Option 2 : 9000 sq.m

Q. Length of a rectangle is twice its breadth. If the perimeter of the rectangle is 78 m, then what will be the area of the rectangle?

1. 300 m²
2. 338 m²
3. 169 m²
4. 507 m²

Ans: Option 2 : 338 m²

Q. What is the length of diagonal, if area of a rectangle is 168 cm² and breadth is 7 cm?

1. 24 cm
2. 15 cm
3. 17 cm
4. 25 cm

Ans: Option 4 : 25 cm

Q. It is given that the breadth of a rectangular park is 18 meters more than the length. If the cost of fencing of the park is Rs. 4100 with a rate of 25 per meter then what is the length of the park?

1. 36 m
2. 60 m
3. 40 m
4. 32 m

Ans: Option 4 : 32 m

Q. The areas of a square and a rectangle are equal. The length of the rectangle is greater than the length of any side of the square by 4 cm and the breadth is less by 3 cm. find the perimeter of the rectangle.

1. 45 cm
2. 60 cm
3. 38 cm
4. 50 cm

Ans: Option 4 : 50 cm

Q. The ratio of the sides of a triangular shaped park is 3 ∶ 4 ∶ 5 and the perimeter of the park is 120 m. What is the perpendicular distance in meters from the vertex, opposite to the largest side of the park?

1. 25
2. 24
3. 48
4. 20

Ans: Option 2 : 24

Q. A photograph of dimensions 10 cm × 8 cm is pasted on a cardboard of dimensions 15 cm × 15 cm. What percentage of the area of the cardboard should be removed such that the photograph is left with a border of 1 cm on all four sides?

1. 46.67%
2. 51.11%
3. 57.77%
4. 64.44%

Ans: Option 1 : 46.67%

Q. In a rectangle, If the length is increased by 80% and the breadth is increased by 20 %, then its area is increased by 

1. 60%
2. 120%
3. 116%
4. 156%

Ans: Option 3 : 116%

Q. A rectangle with length 14 cm and width 3 cm is rotated along its length by 150°. What is the volume of the shape thus generated? (Use π = 22/7)

1. 198 cm³
2. 220 cm³
3. 165 cm³
4. 192.5 cm³

Ans: Option 3 : 165 cm³

Q. If the diagonal and the area of a rectangle are 29 meters and 420 square meters respectively, what is the length of the rectangle?

1. 22 meter
2. 21 meter
3. 18 meter
4. 25 meter

Answer Option 2 : 21 meter

Q. If a path of width 5 m is constructed just outsides a rectangular garden of dimensions 75 m × 55 m, then the area of the path is

1. 1500 m²
2. 1800 m²
3. 1400 m²
4. 1200 m²

Ans: Option 3 : 1400 m²

Q. The length and breadth of a rectangle are 12 cm and 8 cm respectively. If the length of the rectangle is halved then the new breadth of the rectangle having the same area is:

1. 14 cm
2. 16 cm
3. 18 cm
4. 24 cm

Ans: Option 2 : 16 cm

Q. A 2 meter wide running track is to be constructed outside of a rectangular shape field. Field is 460 meter long and having an area of 34500 m². Find the ratio of the breadth of the field to breadth of field including track.

1. 75 : 79
2. 85 : 89
3. 75 : 81
4. 79 : 83

Ans: Option 1 : 75 : 7

Q. If the length and breadth of bedsheet are in the ratio of 7 : 11, then what is the area covered by the bedsheet if its perimeter is 72 m?

1. 300 m²
2. 350 m²
3. 308 m²
4. 216 m²

Ans: Option 3 : 308 m²

Q. If the length and breadth of a rectangle are in the ratio 3 : 2 and its perimeter is 20 cm, then the area of the rectangle is

1. 24 cm²
2. 22 cm²
3. 20 cm²
4. 48 cm²

Ans: Option 1 : 24 cm²

Q. A line is drawn around the garden. The ratio of the length to the width of the rectangle is 1 ∶ 3 and its area is 507 cm². If the cost of drawing a line per m is Rs. 2500 The total cost to draw the line around the garden is Rs…

1. 2600
2. 3010
3. 1790
4. None of the above

Ans: Option 1 : 2600

see also: Problems On HCF And LCM

Q. Length of a rectangular hall is 4/3 times of its breadth. If area of a hall is 300 square meter then what is the difference between length and breadth of hall?

1. 20 meters
2. 4 meters
3. 3 meters
4. 5 meters

Ans: Option 4 : 5 meter

Q. A rectangular shape garden is 26 m long and 14 m wide. There is a path 2 m wide outside the garden along its sides. If the path is to be constructed with square marble tiles 40 cm × 40 cm, the number of tiles required to cover the path is

1. 1800
2. 400
3. 1000
4. 1100

Ans: Option 4 : 1100

Q. The perimeter of a rectangle is 42 cm and its area is 76 cm². What is the length of its diagonal?

1. 17 cm
2. 14 cm
3. 18 cm
4. 21 cm

Ans: Option 1 : 17 cm

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