CBSE Class 7 Mathematics Perimeter and Area Assignment Set B

CBSE Assignment on Perimeter and Area. Prepared by HOD Mathematics of one of the CBSE best schools in Delhi. Based on CBSE and CCE guidelines. The students should practice these assignments to gain perfection which will help him to get more marks in CBSE examination.

Question. The circumference of a circle is 44 m.
What is its area?
(A) 6084.5 m²
(B) 276.5 m²
(C) 154 m²
(D) 44 m²
Answer : C

Question. If the area of a circle is 2464 m², find its diameter.
(A) 56 m
(B) 154m
(C) 176m
(D) 206m
Answer : A

Question. The circular grass lawn of radius 35 m has a path of width 7 m around it on the outside. What is the area of the path?
(A) 1496 m²
(B) 1450 m²
(C) 1576 m²
(D) 1694 m²
Answer : D

Question. The difference between the circumference and radius of a circle is 37 m. What is the circumference of the circle?
(A) 7 m
(B) 44 m
(C) 154 m
(D) 88 m
Answer : B

Question. How many plants (approximately) will be there in a circular bed whose outer edge measures 30 em allowing 4 cm² for each plant?
(A) 18
(B) 750
(C) 24
(D) 120
Answer : A

Question. When the circumference and area of a circle are numerically equal, what is the diameter numerically equal to?
(A) Area
(B) Circumference
(C) 2π
(D) 4
Answer : D

Question. If the ratio of circumferences of two circles is 4 : 9, what is the ratio of their areas?
(A) 9:4
(B) 16:81
(C) 4:9
(D) 2:3
Answer : B

Question. If the area of a circle is A, radius is r and circumference is C, which of the following is true?
(A) rC = 2A
(B) C/A = r/2
(C) AC = r2/4
(D) A/r = C
Answer : A

Question. What is the breadth of a rectangular sheet of perimeter 100 cm and length 35 em?
(A) 35 cm
(B) 20 cm
(C) 15 cm
(D) 50 cm
Answer : C

Question. A wall hanging is in the shape given in the figure. Find its perimeter.

(A) 176 cm
(B) 146 cm
(C) 44 cm
(D) 88 cm
Answer : D

Question. A wire bent in the form of a circle of radius 42 em is again bent in the form of a square.
What is the ratio of the regions enclosed by the ci rcle and the square?
(A) 11 : 12
(B) 21 : 33
(C) 22 : 33
(D) 14 : 11
Answer : D

Question. The length and the breadth of a rectangular piece of land are 400 m and 250 m respectively. What is the cost of the land at ₹ 1000 per square metre?
(A) ₹ 10 lakhs
(B) ₹ 1 crore
(C) ₹ 1 0 crores
(D) ₹ 10 thousands
Answer : C

Question. In the given figure, ABCD is a parallelogram.
DL ⊥ AB and DM ⊥ BC. If AB = 18 cm, BC = 12 cm and DM = 10 em, find DL.

(A) 6(1/2)cm
(B) 6 cm
(C) 6(2/3)cm
(D) 6(3/4)cm
Answer : C

Question. In the following figure, ABCD is a parallelogram. DL ⊥ AB and AB = 13 cm = AD. If the area of parallelogram is 156 cm², find AL.

(A) 5 cm
(B) 6 cm
(C) 7 cm
(D) 8 cm
Answer : A

Question. The length and breadth of a rectangular hall in a model are 0.4 m and 30 cm respectively. What is the distance between the opposite corners of the wall in the model?
(A) 34.16 m
(B) 50 m
(C) 34.16 cm
(D) 50 cm
Answer : D

Question. In the figure given, PR = 22 cm, SN = MQ = 3 cm. What is the area of PQRS?

(A) 66 sq. cm
(B) 63 sq. cm
(C) 34 sq. cm
(D) 198 sq. cm
Answer : A

Question. Find the area of a verandah 2.25 m wide constructed outside a room 5.5 m long and 4 m wide.
(A) 36 sq. m
(B) 63 sq. m
(C) 64 sq. m
(D) 84 sq. m
Answer : B

Question. The longer side of a parallelogram is 81 cm and the corresponding altitude is 16 cm. If the length of shorter side is 24 cm, what is the altitude corresponding to the shorter side?
(A) 36 cm
(B) 48 cm
(C) 54 cm
(D) 24 cm
Answer : C

Question. One side of a parallelogram is 2.4 dam and its area is 576 m². Find the corresponding altitude.
(A) 24 m
(B) 24  cm
(C) 24 dm
(D) 24 dam
Answer : A

Question. A field is in the form of a parallelogram whose base is 420 m and altitude is 3.6 dam. Find the cost of watering the field at 10 paise per sq m.
(A) ₹15120
(B) ₹1 512
(C) ₹151.20
(D) ₹1512.28
Answer : B

Question. Find the area of the triangle whose base is 14 dam and height is 650 em.
(A) 455 dm²
(B) 455 dam²
(C) 455 cm²
(D) 455 m²
Answer : D

Question. Find the altitude of a triangle whose base is 24 em and area is 672 cm².
(A) 48 cm
(B) 56 cm
(C) 46 m
(D) 58 cm
Answer : B

Question. Two sides of a right triangle containing the right angle are 100 em and 8.6 em. Find its area.
(A) 430 sq. cm
(B) 43 sq. m
(C) 430 sq. m
(D) 430 cm
Answer : A

Question. If ABCD is a rectangle having length 30 em and breadth 20 em, E, F and G are midpoints of AB, CD and AD respectively, find the area of the unshaded part.

(A) 400 cm²
(B) 450 cm²
(C) 375 cm²
(D) 500 cm²
Answer : B

Question. What is the difference of circumferences of the circles shown?

(A) 22 cm
(B) 20 cm
(C) 24 cm
(D) 26 cm
Answer : A

Question. In a parallelogram ABCD, the diagonal AC measures 34 m and the perpendicular distance of AC from either of the vertices Band D is 12 m. Find area of parallelogram.
(A) 204 sq. m
(B) 408 sq. m
(C) 816 sq. m
(D) 806 sq. m
Answer : B

Question. ABCD is a rectangle having length 30 em and breadth 25 em. P. Q, R and S are midpoints of AB, BC, CD and AD respectively. What is the area of the shaded part?

(A) 375 m²
(B) 375 cm²
(C) 475 m²
(D) 425 cm²
Answer : B

Question. If ABCD is a parallelogram, what is the ratio of areas of parallelogram ABCD and ΔABC?
(A) 1 : 2
(B) 2: 1
(C) 3:2
(D) 2:3
Answer : B

Question. What is the area of the shaded part in the figure given that the side of square ABCD is 90 m and the side of square PQRS is 100m?

(A) 1900 sq m
(B) 2000 sq m
(C) 1 000 sq m
(D) 2500 sq m
Answer : A

Question. A farmer had a rectangular plot measuring 500 m by 1 00 m. If he fences the plot 4 times with barbed wire, what length of wire was used?
(A) 4800 m
(B) 1 000 m
(C) 300 m
(D) 1200 m
Answer : A

Question. The playground of school is as shown.

What is the perimeter of the playground?
(A) 420 m
(B) 200 m
(C) 220 m
(D) 840 m
Answer : A

Question. The hour hand of a clock is 4.5 em long. What distance does its tip cover in 12 hours?
(A) 28 m
(B) 336 em
(C) 28.28 em
(D) 12 em
Answer : C

Question. The figure shows a parallelogram PQRS.

What is its area ?
(A) 100 cm²
(B) 1 m²
(C) 100 cm
(D) 1 m
Answer : A

Question. The measurements in the given figure are in cm.

What is its area?
(A) 200 cm²
(B) 186 cm²
(C) 210 cm²
(D) 196 cm²
Answer : C