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Geometry Worksheet-3

Geometry Worksheet-3

 

  1. A carpet measuring 9 m by 6 m has a border of width 1 m on all the sides of it. Find the area covered by all the four borders of the carpet.

(a) 24 sq.m       (b) 44 sq.m       (c) 26 sq.m        (d) 54 sq.m

 

  1. Mr. Allen got his house constructed on a piece of land measuring 140 m by 60 m leaving an open space having width of 12 m all around the house. What is the area of the open space?

(a) 4224 sq.m                               (b) 4244 sq.m

(c) 4424 sq.m                               (d) 2224 sq.m

 

  1. A rectangular park having length of 72 m and breadth of 54 m is surrounded by a path of 2.5 m wide. Find the area of the path.

(a) 665 sq.m     (b) 655 sq.m     (c) 645 sq.m     (d) 555 sq.m

 

  1. The dimension of a conference hall is 14 m × 12 m. If each person occupies area of 280 sq.cm Find how many persons can be accommodated in the hall?

(a) 8000 persons                         (b) 4000 persons

(c) 6000 persons                          (d) None of these

 

  1. The side of a square wall is 12 m. Find the cost of painting the wall at the rate of Rs. 10 per square m?

(a) Rs.2240       (b) Rs.1240       (c) Rs.1420       (d) Rs.1440

 

  1. Find the area of the cross roads in the following figure.

(a) 160 m2         (b) 160 m2         (c) 158 m2                   (d) 148 m2

 

  1. The area of a rectangular playground is 2880 sq m. If the breadth of the playground is 48 m. Find the length? What will be the cost of fencing the boundary of the playground at the rate of Rs.5 per meter?

(a) Lt = 40m, cost = Rs.2080

(b) Lt = 68m, cost = Rs.1000

(c) Lt = 60m, cost = Rs.1080

(d) None of these

 

  1. The area of a rectangular swimming pool is 750 sq m. If the length of the swimming pool is 50 m, find the width.

(a) 45 m             (b) 15 m             (c) 25 m             (d) 55 m

 

  1. Jane wants to tile her kitchen floor measuring 12 ft by 8 ft. The dimension of each tile is 2 ft by 1.5 ft. Find the number of tiles required to tile the floor.         

(a) 82 tiles         (b) 72 tiles         (c) 38 tiles         (d) 32 tiles

 

  1. The area of a square field is 72.25 sq.m. One of the sides is 8.5 m. What will be the perimeter of the field?

(a) 44 m             (b) 34 m             (c) 64 m             (d) 14 m

 

 

  1. Robin is drawing plans for a circular swimming pool in his house. If the diameter of the swimming pool is 42 ft, what is its circumference? Use 22/7 for π.

(a) 142 ft            (b) 132 ft            (c) 145 ft            (d) 124 ft

 

  1. Find the perimeter of the given figure.

(a) 62 m             (b) 45 m             (c) 42 m             (d) 31 m

 

  1. Find the perimeter of a parallelogram, if two adjacent sides are 8 cm and 6 cm respectively.

(a) 28 cm           (b) 24 cm           (c) 56 cm           (d) 48 cm

 

  1. One side of an equilateral triangle is a cm. What will be its perimeter?

(a) a + b + c      (b) a × b × c      (c) 3a                  (d) a + 2b

 

  1. Find the perimeter of a regular hexagon with side lengths 5⅓ in.

(a) 82 in.            (b) 32 in.            (c) 34 in.            (d) 42 in.

 

  1. How far does Peter walk in one round of a park whose four sides measure 92 m, 68 m, 78 m and 106 m?

(a) 344 m          (b) 644 m          (c) 444 m           (d) 544 m

 

  1. If the side of a square garden is 8 m, what is its perimeter?

(a) 22m              (b) 32m              (c) 42m              (d) 62m

 

  1. One side of an equilateral triangle is 5 cm. What will be its perimeter?

(a) 12 cm           (b) 15 m             (c) 15 cm            (d) 25 cm

 

  1. The perimeter of a square is 620 cm. Find the side of the square.

(a) 45 cm           (b) 55 cm           (c) 165 cm         (d) 155 cm

 

  1. Find the circumference of the circle to the nearest tenth. Use 22/7 for π.

(a) 27 m             (b) 3.14 m          (c) 22 m            (d) 14 m

 

Answer Key:

(1)-(c); (2)-(a); (3)-(b); (4)-(c); (5)-(d); (6)-(b); (7)-(c); (8)-(b); (9)-(d); (10)-(b); (11)-(b); (12)-(d); (13)-(a); (14)-(c); (15)-(b); (16)-(a); (17)-(b); (18)-(c); (19)-(d); (20)-(c)