Area and Perimeter CUET General Test MCQs

Question: If the ratio of the areas of two squares is 1 : 4, the ratio of their perimeters is
a) 1 : 6
b) 1 : 8
c) 1 : 2
d) 1 : 4

Answer: c

Question: The length of the three sides of a right angled triangle are (x −2) cm, x cm and (x + 2) cm, respectively. Then, the value of x is
a) 10
b) 8
c) 4
d) 0

Answer: b

Question: The ratio of the length of the parallel sides of a trapezium is 3 : 2. The shortest distance between them is 15 cm. If the area of the trapezium is 450 cm², then sum of lengths of the parallel sides is
a) 15 cm
b) 36 cm
c) 42 cm
d) 60 cm

Answer: d

Question: The area of the four walls of a room is 128 sq m. The length is equal to the width and the height is 4 m. The area of the floor of the room is
a) 32 sq m
b) 49 sq m
c) 64 sq m
d) 81 sq m

Answer: c

Question: An equilateral triangle and a regular hexagon have the same perimeter. The ratio of the area of the triangle to that of the hexagon is
a) 3 : 2
b) 2 : 3
c) 1 : 2
d) 1 : 4

Answer: b

Question: If the edge of a cube is increased by 100%, then the surface area of the cube is increased by
a) 100%
b) 200%
c) 300%
d) 400%

Answer: c

Question: The lengths of two sides of an isosceles triangle are 15 and 22, respectively. What are the possible values of perimeter?
a) 52 or 59
b) 52 or 60
c) 15 or 37
d) 37 or 29

Answer: a

Question: Perimeter of a triangle is 24 m and circumference of its incircle is 44 m. Find the area of the triangle.
a) 42 sq m
b) 24 sq m
c) 48 sq m
d) 84 sq m

Answer: d

Question: A semicircular shaped window has diameter of 63 cm. Its perimeter equals to (Π = 22/7)
a) 126 cm
b) 162 cm
c) 198 cm
d) 251 cm

Answer: b

Question: A horse is placed for grazing inside a square field 12 m long and is tethered to one corner by a rope 8 m long. The area it can graze is
a) 50.18 sq m
b) 50.28 sq m
c) 50.38 sq m
d) 50.48 sq m

Answer: b

Question: The diagonal of square field is 50 m. The area (inm²) of the field is
a) 625
b) 1250
c) 2500
d) 5000

Answer: b

15. The area of the shaded region in the given figure is

​​​​a) 2a² (Π − 2)
b) a²/2 (Π − 2)
c) a² (Π − 1)
d) a²/2 (Π − 1)

Answer: b

Question: The diameters of two concentric circles are 8 cm and 10 cm. The area of the region between them is
a) 2p sq cm
b) 4p sq cm
c) 36p sq cm
d) 9p sq cm

Answer: d

Question: A street of width 10 m surrounds from outside a rectangular garden whose measurement is 200 m × 180 m. The area of the path (in sq m) is
a) 8000
b) 7000
c) 7500
d) 8200

Answer: a

16. The area of the shaded region shown in the given figure is

a) 515 cm²
b) 535 cm²
c) 505 cm²
d) 525 cm²

Answer: d

Question: A square field with side 30 m is surrounded by a path of uniform width. If the area of the path is 256 m2, the width of the path is
a) 14 m
b) 16 m
c) 4 m
d) 2 m

Answer: d

Question: Tiling work of rectangular hall 60 m long and 40 m broad is to be completed with a square tile of 0.4 m side. If each tile cost Rs 5, find the total cost of the tiles.
a) Rs 60000
b) Rs 65000
c) Rs 75000
d) Rs 12000

Answer: c

Question: An equilateral triangle of side 6 cm has its corners cut off to form a regular hexagon. The area of this hexagon isa) 6√3 sq cm
b) 3√3 sq cm
c) 3√6 sq cm
d) 5√3/2 sq cm

Answer: a

Question: A parallelogram has sides 15 cm and 7 cm long. The length of one of the diagonals is 20 cm. The area of then parallelogram is
a) 42 cm²
b) 60 cm²
c) 84 cm²
d) 96 cm²

Answer: c

Question: If the radius of a circle is tripled, its perimeter will become how many times of its previous perimeter?
a) 2
b) 1/3
c) 9
d) 3

Answer: d

Question: A room is half as broad as it is high and 1 1/2 times as high as long. If the cost of carpeting the floor at Rs 3 per sq m, is Rs 144, the height (in m) of the room is
a) 8
b) 10
c) 12
d) 16

Answer: c

Question: A rectangular plot 90 m × 50 m has two 10 m wide roads running in the middle of it, one parallel to the length and the other parallel to the breadth. Area of the plot used in roads is
a) 1300 sq m
b) 1400 sq m
c) 1500 sq m
d) 1200 sq m

Answer: a