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. 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. 48√5 m 65 56√7 m 12√5 m 2. Find the area of a square with side 7 cm. 35 cm² 14 cm² 10 cm² 49 cm² 343 cm² 3. 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? 9 cm 6 cm 4 cm 5 cm 4. A rectangular garden has a length of 57 m and a width of 42 m. Calculate of how many m^{2} will decrease the area of a garden, if the ornamental fence with a width of 60 cm will be planted inside its perimeter. 74 m² 121 m² 445 m² 117.36 m² 5. 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 = 342 m², P = 19 m A = 529.2 m², P = 191.5 m A = 12.2 m², P = 91.5 m A = 29.4 m², P = 194 m 6. Find the perimeter of a circle if its area is 706.5 cm^{2}. 94.2 cm 121 cm 45.7 cm 53 cm 7. Two concentric circles have radii 2 cm and 3 cm respectively, calculate the ratio of their areas. 7 : 88 8 : 18 9 : 88 4 : 9 7 : 198 8. Calculate to the nearest whole number the perimeter of a circle whose radius is 6cm. 39 cm 36 cm 37 cm 38 cm 9. The diameter of a record player disc is 14 cm. Calculate its area. 616 cm² 144 cm² 154 cm² 44 cm² 11 cm² 10. 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 11. Find the area of the rectangle ABCD, where the length of the side |AB| = a = 8.2 cm and the diagonal d = 2a. 29.2 cm² 116.46 cm² 98.5 cm² 32.5 cm² 12. In the isosceles trapezoid ABCD we know: AB||CD, |CD| = c = 8 cm, height h = 7 cm, |∠CAB| = 35°. Find the area of the trapezoid. 31.53 cm² 47.54 cm² 12.73 cm² 69.98 cm² 13. Calculate the perimeter of a football field which measures 60 m by 40 m. 2400 m 20 m 200 m 120 m 100 m 14. Find the perimeter and the area of a square, if we know the length of its diagonal d = 4.2 m. P = 15.3 m, A = 8.82 m² P = 6.3 m, A = 12.5 m² P = 11.88 m, A = 8.82 m² P = 18 m, A = 88 m² 15. 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 144 cm 60 cm 30 cm 16. A square on the picture has 8 cm long side. Find the area of the colored part of a circle 28.88 cm² 361 cm² 36.53 cm² 6.54 cm² 17. What is the area of a triangle that has a height of 9cm and a base of 4 cm? 36 sq cm 18 sq cm 13 sq cm 43 sq cm 18. The area of a triangle ABC is 18 cm² and the base is 6 cm. Calculate the height of the triangle. 9 cm 18 cm 6 cm 2 cm 4 cm 19. A square field has a perimeter of 48 m. Find the area of the field. 48 m² 24 m² 144 m² 12 m² 96 m² 20. An equilateral triangle of sides 16 cm has the same perimeter of a square. The area of the square in cm² is? 64 144 96 256 1 out of 20 Time is Up! Time's up