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?
- 9375 sq.m
- 9000 sq.m
- 9750 sq.m
- 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?
- 300 m2
- 338 m2
- 169 m2
- 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?
- 24 cm
- 15 cm
- 17 cm
- 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?
- 36 m
- 60 m
- 40 m
- 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.
- 45 cm
- 60 cm
- 38 cm
- 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?
- 25
- 24
- 48
- 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?
- 46.67%
- 51.11%
- 57.77%
- 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
- 60%
- 120%
- 116%
- 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)
- 198 cm3
- 220 cm3
- 165 cm3
- 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?
- 22 meter
- 21 meter
- 18 meter
- 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
- 1500 m2
- 1800 m2
- 1400 m2
- 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:
- 14 cm
- 16 cm
- 18 cm
- 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.
- 75 : 79
- 85 : 89
- 75 : 81
- 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?
- 300 m2
- 350 m2
- 308 m2
- 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
- 24 cm2
- 22 cm2
- 20 cm2
- 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…
- 2600
- 3010
- 1790
- 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?
- 20 meters
- 4 meters
- 3 meters
- 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
- 1800
- 400
- 1000
- 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?
- 17 cm
- 14 cm
- 18 cm
- 21 cm
Ans: Option 1 : 17 cm