CBSE Class 7 Mathematics Perimeter and Area Assignment Set A

Question. Kuljeet has a square field. It cost him Rs. 2000 to fence the entire field at the rate of Rs. 20 per metre. What is the length of each side of his field?

(a) 1O m
(b) 25 m
(c) 50 m
(d) 100 m

Answer : B

Question. What is the area of the inner rectangle in this figure?

(a) 132 sq. m
(b) 63 sq. m
(c) 60 sq. m
(d) 48sq .m

Answer : B

Question. Look carefully at the four shapes drawn on the grid below. Which two shapes have the same perimeter but different areas?

(a) 1 and 2
(b) 2 and 3
(c) 2 and 4
(d) 1 and 3

Answer : C

Question. Which of these circles is divided into sectors?

Answer : D

Question. Which of the following measurements is most likely to be expressed in square metres?
(a) The capacity of a tank with a square base
(b) The area of the surface of the moon
(c) The distance between the opposite sides of a square field
(d) The total surface of a room to be painted

Answer : D

Question. What is the area of the shaded shape in the figure below

(a) 7 cm²
(b) 14 cm²
(c) 28 cm²
(d) 70 cm²

Answer : C

Question. A rectangular park consists of a rectangular lawn with a path of uniform width on two sides. If the boundary of the entire park is 12 meters longer than of the lawn, what is the width of the path?

(a) 1.5 m
(b) 3 m
(c) 6 m
(d) Can't say from the given data

Answer : B

Question. Which of the following correctly models 82 ?

Answer : A

Question. An arc LN of a circle with centre O is shown here.
Which of the following is a diameter of the circle?

(a) LP
(b) OM
(c) LN
(d) None of these

Answer : D

Question. What happens to the area of a square if each of its sides is trebled?  
(a) The area becomes double.
(b) The area becomes treble.  
(c) The area becomes six times.
(d) The area becomes nine times.

Answer : D

Question. The plan of a one-bedroom apartment is shown below. What is the area of the drawing room?

(a) 35 sq m
(b) 40 sq m
(c) 41 sq m
(d) 56 sq m

Answer : C

Question. Wasim, Sameer and Mala have 6 matchsticks each - with which they have made 3 different shapes. If all the matchsticks are identical in every way, which of the following is correct?

(a) All 3 shapes have the same area and the same perimeter.
(b) All 3 shapes have the same perimeter but different areas.
(c) All 3 shapes have the same area but different perimeters.
(d) All 3 shapes have the same area but only the first two have the same perimeter.

Answer : B
 

Question. One of the sides and the corresponding height of a parallelogram are 5 cm and 3 cm respectively. Find the area of the parallelogram.
Answer : 15 cm²

Question. For making a paper bag, a rectangle 15 cm × 10 cm is required. Find the cost of 10 paper bags if cost of paper is Rs. 2 per cm2 and labour cost is Rs. 5 per bag.
Answer : Rs. 3050

Question. The length and breadth of a rectangular plot are in the ratio of 4 : 3. If the perimeter is 140 cm, find its area.
Answer : 1200 cm²

Question. If the circumferance of a circular sheet is 154 cm, find its diameter.
Answer : 49 cm

Question. What is the circumferance of a circle whose diameter is 49 m?
Answer : 154 m

Question. If area of ABC is 49 cm² and its height AD is 7 cm, find BC.
Answer : 14 cm

Question. If area of a parallelogram is 17.6 m² and its base is 4 cm, find its corresponding height.
Answer : 4.4 cm

Question. What is the circumference of a circle whose radius is 14 cm?
Answer : 88 m

Question. If the ratio of the diameter of two circles is 2 : 5, find the ratio of their circumferences.
Answer : 2 : 5

Question. A horse is tied with a rope in the centre of a square field of side 30 m. If the length of the rope is 14 m. Find the area of the field where horse cannot graze?
Answer : 284 cm²

Question. The diameter of a circle is 28 cm. Find its area.
Answer : 616 cm²

Question. A person starts walking around a square field and in reaching back to the starting place he travels 3496 m. Find the side of the square field.
Answer : 874 m

Question. Find the circumference of a wheel whose radius is 21 cm. Also find the distance covered by it in 10 revolutions.
Answer : 132 cm, 1320 cm or 13.2 meter

Question. Find the breadth of a rectangular plot if its area is 440 cm² and length is 22 cm. Also find its perimeter.
Answer : b = 20 cm; P = 84 cm

Question. The diameter of a car’s tyre is 70 cm. Find the distance covered by it in 5 revolutions.
Answer : 11 m

Question. The radius of a circle is 7 cm. The circle is divided into two equal parts. What is the perimeter of each semi circular part?
Answer : 36 cm

Question. For a Home Science practical, 200 students were given cloth pieces of size 20 cm × 25 cm. Find the total cost of cloth @ Rs. 50 per m²
Answer : Rs. 500

Question. Calculate the breadth of the rectangle whose length and breadth are in the ratio 5 : 7 and perimeter is 120 m.
Answer : 35 cm

Question. Find the area of a circle if its radius is 7 cm.
Answer : 154 cm²

Question. The circumference of a circle is 31.4 cm. Find its radius.
Answer : 5 cm

Question. The length and breadth of a rectangular park are in ratio 9 : 5. If its perimeter is 280m, find its area
Answer : 4500 m²

Question. A piece of wire is 40 cm long. It is bent in the form of a square. Find its side.
Answer : 10 cm

Question. The perimeter of a rectangular sheet is 100 cm. If the length is 35 cm, find its breadth.
Answer : Breadth = 15 cm

Question. In a triangle, if one side is 7 cm and its corresponding height is 4 cm, find its area.
Answer : 14 cm²

Question. If the area of a circle is 154 cm², find its radius.
Answer : r = 7 cm