CBSE Class 7 Mathematics Perimeter and Area MCQs

Question. See the plan of the room below. (The plan is the view when seen from the top). 
Each centimetre in the plan represents half a metre of actual length.
What is the perimeter (in metres) of the room?

a) 33
b) 32.5
c) 16.5
d) 13.75

Answer: C

Question. What is the perimeter of given rectangle?

a) 2a² + 2b²
b) a² + b²
c) 2a + 2b
d) ab

Answer: C

Question. How many square strips having an area of 2 sq. cm will be required to cover the rectangular region shown here? (The strips can be cut if required, assume there is no wastage).

a) 30
b) 44
c) 88
d) 354

Answer: C

Question. Which of the circles below could have a radius of 2 cm? (wherever mentioned, O is the centre)

Answer: C

Question. Which figure has the maximum perimeter?

Answer: C

Question. In which square the ratio of the shaded area to the unshaded area is 1:2?

Answer: C

Question. In the figure, the inner rectangle is drawn 1 cm inside the outer one. If the outer rectangle has a perimeter of 26 cm, what is the perimeter of the inner one?

a) 24 cm
b) 22 cm
c) 20 cm
d) 18 cm

Answer: B

Question. The top of a table is rectangular in shape. When a line is drawn on it as shown, the areas of the parts on the left and right are found to be 800 sq. cm and 900 sq. cm respectively.
What is the total area of the table top?

a) 100 sq cm
b) 850 sq cm
c) 1700 sq cm
d) 720000 sq cm

Answer: C

Question. PQRS is a square park. Four girls Ritu, Tanu, Annie and Usha run once around this park daily. All of them start and end at point P but each one takes a different route.

The names of the girls, in order from the one who runs the GREATEST distance to the one who runs the LEAST is

a) Annie, Ritu, Usha, Tanu
b) Tanu, Ritu, Annie, Usha
c) Ritu, Annie, Tanu, Usha
d) Ritu, Usha, Annie, Tanu

Answer: D

Question. PQRST is a regular pentagon. An ant starts from corner P and crawls around the pentagon along the border. On which side of the pentagon will the ant be when it has covered 5/8 th of the total distance around the pentagon?

a) QR
b) RS
c) ST
d) TP

Answer: C

Question. Siddhant's average running speed is 200 m per minute. One day, he ran once around the park shown here. The time taken to cover two of the sides of the park is shown. What is the perimeter of the park if he ran the entire distance at his average speed ?

a) 8 km
b) 10 km
c) 25 km
d) Can't say

Answer: C

Question. The largest square piece that can be cut out from a circular piece of paper of radius 6 cm is the one with.

a) side 6 cm
b) perimeter 18 cm
c) diagonal 12 cm
d) side 12 cm 

Answer: A

Question. Yatin takes THREE identical pieces of tape which are shaped like this:

and arranges them like given. What is the area of the new shape thus formed?

a) 30 sq cm
b) 26 sq cm
c) 22 sq cm
d) 21  sq cm

Answer: C

Question. The grid below is made of squares of side 2 cm each. What is the area of the shape drawn on the grid? 

a) 13 cm²
b) 21.5 cm²
c) 23 cm²
d) 26 cm²

Answer: D

Question. What is the correct way to find the PERIMETER of the shaded part of the given figure?

a) length of arc PRQ - length of arc PSQ
b) length of arc PRQ + segment PQ - length of arc PSQ
c) length of arc PRQ + length of arc PSQ
d) length of arc PSQ + segment PQ

Answer: C

Question. Devansh has a small patch of land for growing flowers with dimensions as shown. He wants to put a fence all around it 1 m outside its boundary.
What length of fencing material will he need?

a) 16 m
b) 18 m
c) 20m
d) 24 m

Answer: D

Question. What is the area of the shaded part in the figure shown?

a) 200 sq cm
b) 150 sq cm
c) 125 sq cm
d) 100 sq cm

Answer: D

Question. Divya had some square cards. She cut some of them in half to make triangular cards. Now she has two types of cards with her: She makes the four different shapes shown below with her cards. Which shape has the LEAST area?

Answer: A

Question. A square piece is cut off from a rectangular sheet of paper as shown in figure. Which of the following can be found even if the length of the side of the small square is not known?

a) The perimeter of the small square cut off.
b) The area of the small square cut off.
c) The perimeter of the remaining part of the sheet.
d) The area of the remaining part of the sheet.

Answer: C

Question. Every morning, Taruna runs once completely around a square park, running along its border. Her sister Anjana also runs around the same park, but keeping along a square path 10 metres inside the border. 
If the distance covered by Taruna is 1600 m, what is the distance covered by her sister?

a) 400 m
b) 1520 m
c) 1560 m
d) 1590 m

Answer: B

Question. The breadth of a rectangle with length 12cm and perimeter 36cm is: 0
a) 6cm
b) 3cm
c) 9cm
d) 12cm

Answer: A

Question. Find the area of a square park whose perimeter is 96cm
a) 576cm²
b) 626cm ² .
c) 726cm ² 
d) 748cm ²

Answer: A

Question. Find the length of a parallelogram whose area is 246cm and base in 20cm²
a) 1.23cm
b) 13.2cm
c) 12.3cm
d)1.32cm

Answer: C

Question. What happens to the area of a square if its side is doubled?
a) The area becomes 4 times the area of Original Square
b) The area becomes 1/4 times the area of Original Square
c) The area becomes 16 times the area of the original square
d) The area becomes1/16 times the area of the original square

Answer: A

Question. The ratio of the radii of two circles is 3:2.what is their circumferences?
a) 2:3
b) 1:3
c) 3:2
d) 3:1

Answer: C

Question. Find the diameter of a circle whose area is 154 cm ²
a) 4 cm
b) 41 cm
c) 2 cm
d) 14 cm

Answer: D

Question. 50 hectare = -------m ²
a) 5000
b) 50,000
c) 5,00,000
d) 50,00,000

Answer: C

Question. A square with area 64cm ² , then perimeter of the square is
a) 32 cm
b) 48 cm
c) 128 cm
d) 64 cm

Answer: A

Question. Fnd the cost of flooring a square shaped room of side 8m at the rate of Rs 50 per m²
a) Rs 6100
b)Rs 1600
c) Rs 1200
d) Rs 6200

Answer: B

Question. A circle has area which is 100 times the area of another circle .What is the ratio of their circumferences
a) 10: 1
b) 1:10
c) 1:1
d) 2:1

Answer: A

Question. The area of a parallelogram is 338 m²and its height is twice the corresponding base , determine the base.
a) 31 cm
b) 13 cm
c) 14 cm
d) 41 cm

Answer: B

Question. The height of a triangle whose base is 13cm and area is 65 cm²is
a) 12 cm
b) 15 cm
c) 10 cm
d) 20 cm

Answer: C

Question. Find the area of an isosceles right triangle of equal sides 40 cm each.
a) 400 cm².
b) 200 cm ²   
c) 600 cm ² .
d) 800 cm ² .

Answer: D

Question, An ox tied to a pole with 10m long rope. The ox moves keeping the rope tight. Find the area of the ground swept by the rope.
a) 31.4 m²
b) 614 m ²  
c) 314 m ² 
d) 416 m ²

Answer: C

Question. The ratio of area of a circle to the area of semi circle is
a) 1: 2
b) 2: 1
c) 4:1
d) 1: 4

Answer: B

Question. A circle is inscribed in a square of side 28cm. Find the area of the circle.
a) 661 cm²
b) 616 cm ² 
c) 166 cm ² 
d) 660 cm ²

Answer: B

Question. A piece of wire in the form of a rectangle with dimensions 12m by 10m is bent to form a circle. Find the diameter of a circle.
a) 41m
b) 17 m
c) 14 m
d) 7 m

Answer: C

Question. Determine the radius of a circle whose circumference is 110 cm
a) 15.5cm
b) 71.5cm
c) 51.5cm
d) 17.5cm

Answer: D

Question. Find the circumference of a circle with diameter 10 cm
a) 31 3/7 cm
b) 7 31/3 cm
c) 3 7/31cm
d) 4 31/7 cm

Answer: A

Question. The radius of a circle is doubled. What is the ratio of the new circle to the area of the given circle.
a) 1:4
b) 2:1
c) 1:2
d) 4:1

Answer: D