Welcome to your Area and Perimeter of Plane Shapes(Study by Topics Junior Class) NAME EMAIL PHONE NUMBER 1. 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 = 12.4 m, A = 16,026.44 m a = b = 142 m, c = 142 m, A = 2,026.44 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 2. A trapezoid ABCD has the bases length of a = 120 mm, c = 86 mm and the area A = 2,575 mm^{2}. Find the height of the trapezoid. 7.5 mm 25 mm 15.7 mm 31 mm 3. Find the perimeter and the area of a square, if we know the length of its diagonal d = 4.2 m. P = 6.3 m, A = 12.5 m² P = 18 m, A = 88 m² P = 15.3 m, A = 8.82 m² P = 11.88 m, A = 8.82 m² 4. 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 = 0.4 m, b = 1 m a = 0.7 m, b = 2 m a = 1.4 m, b = 1.9m a = 4 m, b = 1.5 m 5. The area of a triangle ABC is 18 cm² and the base is 6 cm. Calculate the height of the triangle. 4 cm 18 cm 2 cm 6 cm 9 cm 6. The perimeter of a rectangle is 20 cm. If the breadth is 4 cm, find its area. 18 cm² 20 cm² 16 cm² 24 cm² 40 cm² 7. 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 8. A classroom of length (2b + 1) has breadth 'b'. What is the perimeter of the classroom? b + 1 2b + 1 3b + 1 6b + 2 9. A right-angled isosceles triangle has the area of 32 cm^{2}. What is its perimeter ? 22.1 cm 12 cm 27.31 cm 35 cm 10. On the picture two and another two semicircles are identical. The radius of one semicircle is twice as large as the radius of the other semicircle. Find the area of the colored pattern if |AB| = 12 cm. 25 cm² 37.7 cm² 57.7 cm² 45 cm² 11. Find the perimeter of a rectangle of sides (a + 2) and (a - 2). 2a 2a - 4 a + 4 4a - 8 4a 12. Calculate the area of the triangle drawn below. 54 cm² 40 cm² 20 cm² 25 cm² 14 cm² 13. The area of a rectangle is 40 cm² and one side is 8 cm long. Find its perimeter. 26 cm 40 cm 16 cm 20 cm 32 cm 14. 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. 121 m² 117.36 m² 445 m² 74 m² 15. A square has a perimeter of 24 cm. Find its area in cm². 48 cm² 36 cm² 96 cm² 72 cm² 24 cm² 16. The length of a board is twice its width. If its perimeter is 3.60 m, what is its width in cm? 120 cm 100 cm 150 cm 240 cm 60 cm 17. Calculate the area of a circle whose diameter is 7 cm. 22 cm² 38 cm² 38.5 cm² 44 cm² 154 cm² 18. What is the area of a trapezoid that has a base of 2 inches, a base of 4 inches and a height of 3 inches? 9 sq inches 24 sq. inches 15 sq. inches 6 sq. inches 19. Two concentric circles have radii 2 cm and 3 cm respectively, calculate the ratio of their areas. 9 : 88 7 : 88 4 : 9 7 : 198 8 : 18 20. A square field has a perimeter of 48 m. Find the area of the field. 48 m² 144 m² 12 m² 96 m² 24 m² 1 out of 20 Time is Up! Time's up