19/03/2020 Area and Perimeter of Plane Shapes(Study by Topics Junior Class) 19/03/2020 0Comments by Gate Academy Welcome to your Area and Perimeter of Plane Shapes(Study by Topics Junior Class) NAME EMAIL PHONE NUMBER 1. Find the radius of a circle having 154 cm² as its area. 24.5 cm 49 cm 3.5 cm 7 cm 14 cm 2. Calculate the area of a circular field of diameter 6 m, correct to 2 s.f. (Take π = 3.14) 112 m² 28 m² 9.4 m² 28.3 m² 29 m² 3. What is the area of a triangle that has a height of 9cm and a base of 4 cm? 43 sq cm 36 sq cm 18 sq cm 13 sq cm 4. A perimeter of an isosceles triangle is 474 m. The base of the triangle is by 48 m longer than the arm. Find the length of the sides and the area of the triangle. a = b = 142 m, c = 142 m, A = 2,026.44 m a = b = 142 m, c = 12.4 m, A = 16,026.44 m a = b = 112 m, c = 14 m, A = 15,026.44 m a = b = 142 m, c = 190 m, A = 10,026.44 m 5. A right-angled triangle ABC has the legs a = 5 cm, b = 8 cm. A triangle A'B'C' is similar to the triangle ABC and it is 2.5 times smaller. Calculate what percentage of the area of the triangle ABC takes the area of the triangle A'B'C'. 23% 75% 16% 7% 6. The length of a board is twice its width. If its perimeter is 3.60 m, what is its width in cm? 150 cm 240 cm 120 cm 60 cm 100 cm 7. One of the internal angles of the rhombus is 120° and the shorter diagonal is 3.4 meters long. Find the perimeter of the rhombus. 21.7 m 16 m 13.6 m 28 m 8. The area of a trapezium ABCD is 156 cm². If the parallel sides are 17 cm and 35 cm respectively, what is the height of the trapezium? 6 cm 4 cm 9 cm 5 cm 9. A classroom of length (2b + 1) has breadth 'b'. What is the perimeter of the classroom? 2b + 1 6b + 2 3b + 1 b + 1 10. A square field has a perimeter of 48 m. Find the area of the field. 24 m² 48 m² 144 m² 12 m² 96 m² 11. Calculate to the nearest whole number the perimeter of a circle whose radius is 6cm. 36 cm 38 cm 37 cm 39 cm 12. Find the perimeter of a rectangle of sides (a + 2) and (a - 2). 2a - 4 a + 4 4a - 8 4a 2a 13. A land of a right-angled trapezoid shape has the bases lengths of 92 m and 76 m and the vertical arm is 6.3 m long. Find the land area and the length of a fencing needed to fence the land. A = 529.2 m², P = 191.5 m A = 29.4 m², P = 194 m A = 342 m², P = 19 m A = 12.2 m², P = 91.5 m 14. Calculate the area of a circle whose diameter is 7 cm. 22 cm² 38.5 cm² 154 cm² 38 cm² 44 cm² 15. Lengths of the sides of a rectangular garden are in the ratio 1 : 2. Line connecting the centers of the adjacent sides of the garden is 20 m long. Calculate the perimeter of the garden. 12√5 m 48√5 m 56√7 m 65 16. Find the length of the diagonal of a rectangle whose length and breadth are 8 cm and 6 cm respectively. 7 cm 10 cm 15 cm 12 cm 11 cm 17. If the area of a rectangle is 144 cm² and its breadth is 6 cm, find the perimeter if the rectangle. 12 cm 24 cm 60 cm 144 cm 30 cm 18. A perimeter of a parallelogram is 2.8 meters. The length of one of its sides is equal to one-seventh of the entire perimeter. Find lengths of the sides of the parallelogram. a = 4 m, b = 1.5 m a = 0.7 m, b = 2 m a = 1.4 m, b = 1.9m a = 0.4 m, b = 1 m 19. The area of a rectangle is 40 cm² and one side is 8 cm long. Find its perimeter. 32 cm 26 cm 16 cm 40 cm 20 cm 20. Two concentric circles have radii 2 cm and 3 cm respectively, calculate the ratio of their areas. 9 : 88 7 : 198 4 : 9 8 : 18 7 : 88 1 out of 20 Time is Up! Time's up